diff --git a/dune/xt/grid/grids.hh b/dune/xt/grid/grids.hh
index fc9bee9c45b4c978f7c212c0253135372994093e..3e5b9e9b37c5fff56337c9478732fc5c328704ba 100644
--- a/dune/xt/grid/grids.hh
+++ b/dune/xt/grid/grids.hh
@@ -115,29 +115,8 @@ using Available3dGridTypes = std::tuple<YASP_3D_EQUIDISTANT_OFFSET
 
 /**
  * \note Alberta grids are missing here on purpose, these cannot be handled automatically very well.
- * \todo instead use:
-using AvailableGridTypes = Common::tuple_cat_t<Available1dGridTypes, Available2dGridTypes, Available3dGridTypes>;
-
  */
-using AvailableGridTypes = std::tuple<ONED_1D,
-                                      /*YASP_1D_EQUIDISTANT_OFFSET,*/
-                                      YASP_2D_EQUIDISTANT_OFFSET,
-                                      YASP_3D_EQUIDISTANT_OFFSET
-#if HAVE_DUNE_ALUGRID
-                                      ,
-                                      ALU_2D_SIMPLEX_CONFORMING,
-                                      /*ALU_2D_SIMPLEX_NONCONFORMING,*/
-                                      /*ALU_2D_CUBE,*/
-                                      ALU_3D_SIMPLEX_CONFORMING /*,*/
-/*ALU_3D_SIMPLEX_NONCONFORMING,*/
-/*ALU_3D_CUBE*/
-#endif
-#if HAVE_DUNE_UGGRID || HAVE_UG
-                                      ,
-                                      UG_2D,
-                                      UG_3D
-#endif
-                                      >;
+using AvailableGridTypes = Common::tuple_cat_t<Available1dGridTypes, Available2dGridTypes, Available3dGridTypes>;
 
 
 } // namespace Grid
diff --git a/python/dune/xt/functions/checkerboard.cc b/python/dune/xt/functions/checkerboard.cc
index 4a10a86646948982a849a46b3120354d05a3224c..f7a8cfabb18dcca0458268b8aefbc52b8bfeb952 100644
--- a/python/dune/xt/functions/checkerboard.cc
+++ b/python/dune/xt/functions/checkerboard.cc
@@ -28,6 +28,7 @@
 #include <python/dune/xt/common/fmatrix.hh>
 #include <python/dune/xt/common/bindings.hh>
 #include <python/dune/xt/grid/traits.hh>
+#include <python/dune/xt/grid/grids.bindings.hh>
 #include <python/dune/xt/common/exceptions.bindings.hh>
 
 namespace Dune {
@@ -105,7 +106,7 @@ public:
 } // namespace Dune
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct CheckerboardFunction_for_all_grids
 {
   using G = Dune::XT::Common::tuple_head_t<GridTypes>;
diff --git a/python/dune/xt/functions/divergence.cc b/python/dune/xt/functions/divergence.cc
index 1611b845f1c7e41a39fc3769f9cf24ca272d6f3b..ff1a6bf376eacecd489e0d49e7f17fac3f97625c 100644
--- a/python/dune/xt/functions/divergence.cc
+++ b/python/dune/xt/functions/divergence.cc
@@ -29,6 +29,7 @@
 #include <python/dune/xt/common/bindings.hh>
 #include <python/dune/xt/grid/traits.hh>
 #include <python/dune/xt/common/exceptions.bindings.hh>
+#include <python/dune/xt/grid/grids.bindings.hh>
 
 namespace Dune {
 namespace XT {
@@ -90,7 +91,7 @@ public:
 } // namespace Dune
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct DivergenceGridFunction_for_all_grids
 {
   using G = Dune::XT::Common::tuple_head_t<GridTypes>;
diff --git a/python/dune/xt/functions/elementwise-diameter.cc b/python/dune/xt/functions/elementwise-diameter.cc
index 2b75efa74f38df5bf0855aa58afcf5f982787e0e..6227005c17d3fb31cabdfa636d312ac35eaad67b 100644
--- a/python/dune/xt/functions/elementwise-diameter.cc
+++ b/python/dune/xt/functions/elementwise-diameter.cc
@@ -29,6 +29,7 @@
 #include <python/dune/xt/common/bindings.hh>
 #include <python/dune/xt/grid/traits.hh>
 #include <python/dune/xt/common/exceptions.bindings.hh>
+#include <python/dune/xt/grid/grids.bindings.hh>
 
 namespace Dune {
 namespace XT {
@@ -83,7 +84,7 @@ public:
 } // namespace Dune
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct ElementwiseDiameterFunction_for_all_grids
 {
   using G = Dune::XT::Common::tuple_head_t<GridTypes>;
diff --git a/python/dune/xt/functions/elementwise-minimum.cc b/python/dune/xt/functions/elementwise-minimum.cc
index bea0dc112412e98bb7f003ffdb8cfadb1073d2c9..4d5633d9177c829f9f6dba5fc0bca75b1ada8e04 100644
--- a/python/dune/xt/functions/elementwise-minimum.cc
+++ b/python/dune/xt/functions/elementwise-minimum.cc
@@ -29,6 +29,7 @@
 #include <python/dune/xt/common/bindings.hh>
 #include <python/dune/xt/grid/traits.hh>
 #include <python/dune/xt/common/exceptions.bindings.hh>
+#include <python/dune/xt/grid/grids.bindings.hh>
 
 namespace Dune {
 namespace XT {
@@ -101,7 +102,7 @@ public:
 } // namespace Dune
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct ElementwiseMinimumFunction_for_all_grids
 {
   using G = Dune::XT::Common::tuple_head_t<GridTypes>;
diff --git a/python/dune/xt/functions/function-as-grid-function.cc b/python/dune/xt/functions/function-as-grid-function.cc
index 9c50538c5778f0ac05286e9ae9a8d8376d848104..77a472e0851381c28f6d0aeb6a0fc09d685b5bde 100644
--- a/python/dune/xt/functions/function-as-grid-function.cc
+++ b/python/dune/xt/functions/function-as-grid-function.cc
@@ -41,7 +41,7 @@ void addbind_for_Grid(pybind11::module& m)
 } // ... addbind_for_Grid(...)
 
 
-template <class Tuple = Dune::XT::Grid::AvailableGridTypes>
+template <class Tuple = Dune::XT::Grid::bindings::AvailableGridTypes>
 void all_grids(pybind11::module& m)
 {
   Dune::XT::Common::bindings::guarded_bind([&]() { //  different grids but same entity
diff --git a/python/dune/xt/functions/gradient.cc b/python/dune/xt/functions/gradient.cc
index 49cb055edbee86b0f7507ac1f9bd819421ac4782..d79ec6f013576a1d756858e09dc24f8725a20694 100644
--- a/python/dune/xt/functions/gradient.cc
+++ b/python/dune/xt/functions/gradient.cc
@@ -29,6 +29,7 @@
 #include <python/dune/xt/common/bindings.hh>
 #include <python/dune/xt/grid/traits.hh>
 #include <python/dune/xt/common/exceptions.bindings.hh>
+#include <python/dune/xt/grid/grids.bindings.hh>
 
 namespace Dune {
 namespace XT {
@@ -88,7 +89,7 @@ public:
 } // namespace Dune
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct GradientGridFunction_for_all_grids
 {
   using G = Dune::XT::Common::tuple_head_t<GridTypes>;
diff --git a/python/dune/xt/functions/gridfunction.cc b/python/dune/xt/functions/gridfunction.cc
index fd2e5f27a0d0ef9ecd18b59f33674bce15fc3f4f..1799a92536cf982d72e618c7afa9dece44ca84e6 100644
--- a/python/dune/xt/functions/gridfunction.cc
+++ b/python/dune/xt/functions/gridfunction.cc
@@ -29,6 +29,7 @@
 #include <python/dune/xt/common/bindings.hh>
 #include <python/dune/xt/grid/traits.hh>
 #include <python/dune/xt/common/exceptions.bindings.hh>
+#include <python/dune/xt/grid/grids.bindings.hh>
 
 namespace Dune {
 namespace XT {
@@ -660,7 +661,7 @@ public:
 } // namespace Dune
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct GridFunction_for_all_grids
 {
   using G = Dune::XT::Common::tuple_head_t<GridTypes>;
diff --git a/python/dune/xt/functions/indicator.cc b/python/dune/xt/functions/indicator.cc
index 440daac577dd8f8e7827bc28a6f39677e56e9a5c..15b310048ee2aa153f1ac4041fc1a71d6ae9b867 100644
--- a/python/dune/xt/functions/indicator.cc
+++ b/python/dune/xt/functions/indicator.cc
@@ -35,7 +35,7 @@ void addbind_for_Grid(pybind11::module& m)
 } // ... addbind_for_Grid(...)
 
 
-template <class Tuple = Dune::XT::Grid::AvailableGridTypes>
+template <class Tuple = Dune::XT::Grid::bindings::AvailableGridTypes>
 void all_grids(pybind11::module& m)
 {
   Dune::XT::Common::bindings::guarded_bind([&]() { //  different grids but same entity
diff --git a/python/dune/xt/functions/interfaces/grid-function_1d.cc b/python/dune/xt/functions/interfaces/grid-function_1d.cc
index 59278eef4a728e72c95006bc3e451d23d5c7c677..c04637a910c7f616c8ab7ce7dba78a4d6c78ce66 100644
--- a/python/dune/xt/functions/interfaces/grid-function_1d.cc
+++ b/python/dune/xt/functions/interfaces/grid-function_1d.cc
@@ -9,7 +9,7 @@
 
 #include "config.h"
 
-#include <dune/xt/grid/grids.hh>
+#include <python/dune/xt/grid/grids.bindings.hh>
 
 #include "grid-function_for_all_grids.hh"
 
@@ -23,7 +23,8 @@ PYBIND11_MODULE(_functions_interfaces_grid_function_1d, m)
   py::module::import("dune.xt.la");
 
   // All of these need to be there ...
-  GridFunctionInterface_for_all_grids<Dune::XT::Grid::Available1dGridTypes>::bind_interface(m);
+  GridFunctionInterface_for_all_grids<Dune::XT::Grid::bindings::Available1dGridTypes>::bind_interface(m);
   // ... before we start binding those.
-  GridFunctionInterface_for_all_grids<Dune::XT::Grid::Available1dGridTypes>::bind_combined(m);
+  GridFunctionInterface_for_all_grids<Dune::XT::Grid::bindings::Available1dGridTypes>::bind_combined(m);
+
 } // PYBIND11_MODULE(...)
diff --git a/python/dune/xt/functions/interfaces/grid-function_2d.cc b/python/dune/xt/functions/interfaces/grid-function_2d.cc
index 01b4202b39a2ff7d721df130e8a776961388c8a1..7b0019ff2208db29e8c826bb9706b2855327923e 100644
--- a/python/dune/xt/functions/interfaces/grid-function_2d.cc
+++ b/python/dune/xt/functions/interfaces/grid-function_2d.cc
@@ -9,7 +9,7 @@
 
 #include "config.h"
 
-#include <dune/xt/grid/grids.hh>
+#include <python/dune/xt/grid/grids.bindings.hh>
 
 #include "grid-function_for_all_grids.hh"
 
@@ -23,7 +23,7 @@ PYBIND11_MODULE(_functions_interfaces_grid_function_2d, m)
   py::module::import("dune.xt.la");
 
   // All of these need to be there ...
-  GridFunctionInterface_for_all_grids<Dune::XT::Grid::Available2dGridTypes>::bind_interface(m);
+  GridFunctionInterface_for_all_grids<Dune::XT::Grid::bindings::Available2dGridTypes>::bind_interface(m);
   // ... before we start binding those.
-  GridFunctionInterface_for_all_grids<Dune::XT::Grid::Available2dGridTypes>::bind_combined(m);
+  GridFunctionInterface_for_all_grids<Dune::XT::Grid::bindings::Available2dGridTypes>::bind_combined(m);
 } // PYBIND11_MODULE(...)
diff --git a/python/dune/xt/functions/interfaces/grid-function_3d.cc b/python/dune/xt/functions/interfaces/grid-function_3d.cc
index 91c159d6a37bc9955242cd3399f452f3c323b3d3..3aa66b5ce786fcf864bab9315aaeb28efd324106 100644
--- a/python/dune/xt/functions/interfaces/grid-function_3d.cc
+++ b/python/dune/xt/functions/interfaces/grid-function_3d.cc
@@ -9,7 +9,7 @@
 
 #include "config.h"
 
-#include <dune/xt/grid/grids.hh>
+#include <python/dune/xt/grid/grids.bindings.hh>
 
 #include "grid-function_for_all_grids.hh"
 
@@ -23,7 +23,7 @@ PYBIND11_MODULE(_functions_interfaces_grid_function_3d, m)
   py::module::import("dune.xt.la");
 
   // All of these need to be there ...
-  GridFunctionInterface_for_all_grids<Dune::XT::Grid::Available3dGridTypes>::bind_interface(m);
+  GridFunctionInterface_for_all_grids<Dune::XT::Grid::bindings::Available3dGridTypes>::bind_interface(m);
   // ... before we start binding those.
-  GridFunctionInterface_for_all_grids<Dune::XT::Grid::Available3dGridTypes>::bind_combined(m);
+  GridFunctionInterface_for_all_grids<Dune::XT::Grid::bindings::Available3dGridTypes>::bind_combined(m);
 } // PYBIND11_MODULE(...)
diff --git a/python/dune/xt/functions/inverse.cc b/python/dune/xt/functions/inverse.cc
index 38264b0ae50e802564d020100510518bcc9bf774..3106d4401ad8a24fc611b6b3627cb0bc315dc7fe 100644
--- a/python/dune/xt/functions/inverse.cc
+++ b/python/dune/xt/functions/inverse.cc
@@ -30,6 +30,7 @@
 #include <python/dune/xt/common/bindings.hh>
 #include <python/dune/xt/grid/traits.hh>
 #include <python/dune/xt/common/exceptions.bindings.hh>
+#include <python/dune/xt/grid/grids.bindings.hh>
 
 namespace Dune {
 namespace XT {
@@ -97,7 +98,7 @@ public:
 } // namespace Dune
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct InverseGridFunction_for_all_grids
 {
   using G = Dune::XT::Common::tuple_head_t<GridTypes>;
diff --git a/python/dune/xt/functions/spe10.cc b/python/dune/xt/functions/spe10.cc
index 640edfd50f7b56559db9462325895c40b11b39ad..c67c0c01bd85336486bf4989ef5789faef8b6faf 100644
--- a/python/dune/xt/functions/spe10.cc
+++ b/python/dune/xt/functions/spe10.cc
@@ -38,7 +38,7 @@ void addbind_for_Grid(pybind11::module& m)
 } // ... addbind_for_Grid(...)
 
 
-template <class Tuple = Dune::XT::Grid::AvailableGridTypes>
+template <class Tuple = Dune::XT::Grid::bindings::AvailableGridTypes>
 void all_grids(pybind11::module& m)
 {
   Dune::XT::Common::bindings::guarded_bind([&]() { //  different grids but same entity
diff --git a/python/dune/xt/grid/boundaryinfo/alldirichlet.cc b/python/dune/xt/grid/boundaryinfo/alldirichlet.cc
index b383424741d478a21e49862cdc561fc0ebda797f..05a2932edf81590b334da437729cd9f672176ecb 100644
--- a/python/dune/xt/grid/boundaryinfo/alldirichlet.cc
+++ b/python/dune/xt/grid/boundaryinfo/alldirichlet.cc
@@ -24,7 +24,7 @@ using namespace Dune::XT;
 using namespace Dune::XT::Grid::bindings;
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct AllDirichletBoundaryInfo_for_all_grids
 {
   using G = Dune::XT::Common::tuple_head_t<GridTypes>;
diff --git a/python/dune/xt/grid/boundaryinfo/allneumann.cc b/python/dune/xt/grid/boundaryinfo/allneumann.cc
index 3d167eb1cdd6c978b632a841ba290e9bb0086997..47677ca8c626f2009fa9ecf51b2dede1096503a0 100644
--- a/python/dune/xt/grid/boundaryinfo/allneumann.cc
+++ b/python/dune/xt/grid/boundaryinfo/allneumann.cc
@@ -24,7 +24,7 @@ using namespace Dune::XT;
 using namespace Dune::XT::Grid::bindings;
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct AllNeumannBoundaryInfo_for_all_grids
 {
   using G = Dune::XT::Common::tuple_head_t<GridTypes>;
diff --git a/python/dune/xt/grid/boundaryinfo/allreflecting.cc b/python/dune/xt/grid/boundaryinfo/allreflecting.cc
index 9b6d7a160c496e0b1d40fc4f0a7682ca4a4fc2c6..6d5de9e20e40392cf08e87661103336273ace267 100644
--- a/python/dune/xt/grid/boundaryinfo/allreflecting.cc
+++ b/python/dune/xt/grid/boundaryinfo/allreflecting.cc
@@ -24,7 +24,7 @@ using namespace Dune::XT;
 using namespace Dune::XT::Grid::bindings;
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct AllReflectingBoundaryInfo_for_all_grids
 {
   using G = Dune::XT::Common::tuple_head_t<GridTypes>;
diff --git a/python/dune/xt/grid/boundaryinfo/interfaces.cc b/python/dune/xt/grid/boundaryinfo/interfaces.cc
index 15e6bab98efa50f85725b34334f021d1ca3286fa..6865d06705c3c86dba3305ab80798c4d6687069d 100644
--- a/python/dune/xt/grid/boundaryinfo/interfaces.cc
+++ b/python/dune/xt/grid/boundaryinfo/interfaces.cc
@@ -11,10 +11,12 @@
 
 #include <dune/xt/grid/grids.hh>
 
+#include <python/dune/xt/grid/grids.bindings.hh>
+
 #include "interfaces.hh"
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct BoundaryInfo_for_all_grids
 {
   static void bind(pybind11::module& m)
diff --git a/python/dune/xt/grid/boundaryinfo/normalbased.cc b/python/dune/xt/grid/boundaryinfo/normalbased.cc
index 5ccc49be64ba9ab48615b4a9346f5811be401539..cf9cf76f5fbd122e9f4072ad613e838ad4c83222 100644
--- a/python/dune/xt/grid/boundaryinfo/normalbased.cc
+++ b/python/dune/xt/grid/boundaryinfo/normalbased.cc
@@ -25,7 +25,7 @@ using namespace Dune::XT;
 using namespace Dune::XT::Grid::bindings;
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct NormalBasedBoundaryInfo_for_all_grids
 {
   using G = Dune::XT::Common::tuple_head_t<GridTypes>;
diff --git a/python/dune/xt/grid/filters/base.cc b/python/dune/xt/grid/filters/base.cc
index 5d2b78e0e691d6734a34109e38dea6a22066730e..cd6b350d2da8f38d3fb3044ae77330f1221414c1 100644
--- a/python/dune/xt/grid/filters/base.cc
+++ b/python/dune/xt/grid/filters/base.cc
@@ -9,12 +9,12 @@
 
 #include "config.h"
 
-#include <dune/xt/grid/grids.hh>
+#include <python/dune/xt/grid/grids.bindings.hh>
 
 #include "base.hh"
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct ElementFilter_for_all_grids
 {
   static void bind(pybind11::module& m)
@@ -31,7 +31,7 @@ struct ElementFilter_for_all_grids<Dune::XT::Common::tuple_null_type>
 };
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct IntersectionFilter_for_all_grids
 {
   static void bind(pybind11::module& m)
diff --git a/python/dune/xt/grid/filters/element.cc b/python/dune/xt/grid/filters/element.cc
index 98f6778e33064e65fae650dc403d7d9751f14ff6..eda97d3aa25fdfb99e4bf96f7206c0381698b048 100644
--- a/python/dune/xt/grid/filters/element.cc
+++ b/python/dune/xt/grid/filters/element.cc
@@ -12,9 +12,10 @@
 #include <dune/xt/grid/grids.hh>
 
 #include <python/dune/xt/grid/filters/element.hh>
+#include <python/dune/xt/grid/grids.bindings.hh>
 
 
-template <template <class> class Filter, class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <template <class> class Filter, class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct InitlessElementFilter_for_all_grids
 {
   static void bind(pybind11::module& m, const std::string& class_id)
diff --git a/python/dune/xt/grid/functors/boundary-detector.cc b/python/dune/xt/grid/functors/boundary-detector.cc
index 4fbd843f1bdb699cc28cfeb66fa820e51ca421cc..3fd0af81b8f81c887c2137060ab48d736b2b1302 100644
--- a/python/dune/xt/grid/functors/boundary-detector.cc
+++ b/python/dune/xt/grid/functors/boundary-detector.cc
@@ -12,6 +12,8 @@
 #include <dune/pybindxi/pybind11.h>
 #include <dune/xt/grid/functors/boundary-detector.hh>
 
+#include <python/dune/xt/grid/grids.bindings.hh>
+
 #include "interfaces.hh"
 
 
@@ -80,7 +82,7 @@ public:
 } // namespace Dune
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct BoundaryDetectorFunctor_for_all_grids
 {
   static void bind(pybind11::module& m)
diff --git a/python/dune/xt/grid/functors/interfaces.cc b/python/dune/xt/grid/functors/interfaces.cc
index 69bfb09f423d878366d5216f827f9fc40ff57a0c..8a0cf610590d0ead142b8ce571ddb6397bf8efa6 100644
--- a/python/dune/xt/grid/functors/interfaces.cc
+++ b/python/dune/xt/grid/functors/interfaces.cc
@@ -11,10 +11,12 @@
 
 #include <dune/xt/grid/grids.hh>
 
+#include <python/dune/xt/grid/grids.bindings.hh>
+
 #include "interfaces.hh"
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct ElementFunctor_for_all_grids
 {
   static void bind(pybind11::module& m)
@@ -31,7 +33,7 @@ struct ElementFunctor_for_all_grids<Dune::XT::Common::tuple_null_type>
 };
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct IntersectionFunctor_for_all_grids
 {
   static void bind(pybind11::module& m)
@@ -48,7 +50,7 @@ struct IntersectionFunctor_for_all_grids<Dune::XT::Common::tuple_null_type>
 };
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct ElementAndIntersectionFunctor_for_all_grids
 {
   static void bind(pybind11::module& m)
diff --git a/python/dune/xt/grid/gridprovider/provider.cc b/python/dune/xt/grid/gridprovider/provider.cc
index 4d91924ccefe85afc2637567904f648c1455dcec..015f36829038b9fa75547ebebe5b1b1696b64f9a 100644
--- a/python/dune/xt/grid/gridprovider/provider.cc
+++ b/python/dune/xt/grid/gridprovider/provider.cc
@@ -15,9 +15,10 @@
 
 #include <python/dune/xt/grid/gridprovider.hh>
 #include <python/dune/xt/grid/filters/intersection.hh>
+#include <python/dune/xt/grid/grids.bindings.hh>
 
 
-template <template <class> class Filter, class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <template <class> class Filter, class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct InitlessIntersectionFilter_for_all_grids
 {
   static void bind(pybind11::module& m, const std::string& class_id)
@@ -35,7 +36,7 @@ struct InitlessIntersectionFilter_for_all_grids<Filter, Dune::XT::Common::tuple_
 };
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct CustomBoundaryIntersectionFilter_for_all_grids
 {
   static void bind(pybind11::module& m)
@@ -52,7 +53,7 @@ struct CustomBoundaryIntersectionFilter_for_all_grids<Dune::XT::Common::tuple_nu
 };
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct GridProvider_for_all_grids
 {
   static void bind(pybind11::module& m)
diff --git a/python/dune/xt/grid/grids.bindings.hh b/python/dune/xt/grid/grids.bindings.hh
index d56c8539725fb9394ef2363c2bba985bef761cc0..9769f0a51dba2d818781067620c66bf5160c6ba6 100644
--- a/python/dune/xt/grid/grids.bindings.hh
+++ b/python/dune/xt/grid/grids.bindings.hh
@@ -13,6 +13,7 @@
 #define DUNE_XT_GRID_GRIDS_BINDINGS_HH
 
 #include <dune/xt/common/string.hh>
+#include <dune/xt/common/tuple.hh>
 #include <dune/xt/grid/grids.hh>
 
 
@@ -150,6 +151,30 @@ struct grid_name<UGGrid<dim>>
 
 #endif // HAVE_DUNE_UGGRID || HAVE_UG
 
+
+/// \attention The following choices are on purpose: only two variants per dim, one cube one simplex.
+///            In particular the grid_name<G>::value needs to be unique for all alugrid variants and the
+///            make_...grid methods need to be more general if we extend the choice of grids here!
+
+using Available1dGridTypes = std::tuple<ONED_1D>;
+
+using Available2dGridTypes = std::tuple<YASP_2D_EQUIDISTANT_OFFSET
+#if HAVE_DUNE_ALUGRID
+                                        ,
+                                        ALU_2D_SIMPLEX_CONFORMING
+#endif
+                                        >;
+
+using Available3dGridTypes = std::tuple<YASP_3D_EQUIDISTANT_OFFSET
+#if HAVE_DUNE_ALUGRID
+                                        ,
+                                        ALU_3D_SIMPLEX_CONFORMING
+#endif
+                                        >;
+
+using AvailableGridTypes = Common::tuple_cat_t<Available1dGridTypes, Available2dGridTypes, Available3dGridTypes>;
+
+
 } // namespace bindings
 } // namespace Grid
 } // namespace XT
diff --git a/python/dune/xt/grid/intersection.cc b/python/dune/xt/grid/intersection.cc
index b09dc2008fb70c53611ea0815af362052c692e3c..5e0454991ae2a8251b10c3201e7d34fec707f0c5 100644
--- a/python/dune/xt/grid/intersection.cc
+++ b/python/dune/xt/grid/intersection.cc
@@ -114,7 +114,7 @@ public:
 } // namespace Dune
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct Intersection_for_all_grids
 {
   using G = Dune::XT::Common::tuple_head_t<GridTypes>;
@@ -141,5 +141,5 @@ PYBIND11_MODULE(_grid_intersection, m)
 
   py::module::import("dune.xt.common");
 
-  Intersection_for_all_grids<XT::Grid::AvailableGridTypes>::bind(m);
+  Intersection_for_all_grids<>::bind(m);
 }
diff --git a/python/dune/xt/grid/walker.cc b/python/dune/xt/grid/walker.cc
index 404998fb626b1c95b78f37045e57e10f4b684046..3114eb3adf3a77b7e17974c69094b0e10e2ac148 100644
--- a/python/dune/xt/grid/walker.cc
+++ b/python/dune/xt/grid/walker.cc
@@ -13,11 +13,12 @@
 #include "config.h"
 
 #include <dune/pybindxi/pybind11.h>
+#include <python/dune/xt/grid/grids.bindings.hh>
 
 #include "walker.hh"
 
 
-template <class GridTypes = Dune::XT::Grid::AvailableGridTypes>
+template <class GridTypes = Dune::XT::Grid::bindings::AvailableGridTypes>
 struct Walker_for_all_grids
 {
   static void bind(pybind11::module& m)
diff --git a/python/dune/xt/test/grid_types.cc b/python/dune/xt/test/grid_types.cc
index 81c5af1d33c80a6aafdc8e6611225c6d51316898..79006de70bce1564dce2a9f761fba4dd27bd1652 100644
--- a/python/dune/xt/test/grid_types.cc
+++ b/python/dune/xt/test/grid_types.cc
@@ -25,9 +25,10 @@
 
 #include <python/dune/xt/common/bindings.hh>
 #include <python/dune/xt/grid/grids.bindings.hh>
+#include <python/dune/xt/grid/grids.bindings.hh>
 
 
-template <class Tuple = Dune::XT::Grid::AvailableGridTypes>
+template <class Tuple = Dune::XT::Grid::bindings::AvailableGridTypes>
 void addbind_for_Grid(pybind11::module& m, std::vector<std::string>& available_types)
 {
   using G = Dune::XT::Common::tuple_head_t<Tuple>;