Rather than a dog crate, many of us have invested (with great success) in an exercise pen ie an X-Pen. It should be at least 36″ high because a good bunny jumper can get over the top of the lower ones. You can buy a plastic cover for some of them, or if you want it covered you can also clip a sheet to the sides. But they come with a door that swings open for easy access to clean. They flatten or can be shaped in a square, rectangle or octagon so you can fit it to a space in your home, and you use whatever you prefer for flooring. I have a low pile area rug covered with fabric for a floor, and her mattes, dishes and pan are on top of that.
The crate is hard to get in and out of for you, but the xpen is an initial investment that is comparable to a good larger cage, or even cheaper, and works well. The are sold at all major pet stores and often go on sale if you watch for one. I caught mine at a good local sale one summer.