I keep a scrub brush and a squeegee in my shower. While I’m waiting for the water to get hot, I put my foot into the handle of the brush and run it around the floor off the shower. After I’m done showing, I use the squeegee on the glass shower door. About once a week I use the squeegee on the shower walls. I won’t say I never otherwise have to clean my shower, but those things really take care of most of it, assuming your starting place is a clean shower.

Edit: Oh, and after I dry myself I also dry the chrome faucet handle.