I had "level access bathing" inlicted on me when I moved to sheltered housing. I absolutely hate it. The pump's noisy, VERY noisy. Easy to clean? Nonsense. The water gets everywhere in little pools and I need an oldfashioned floor mop to get rid of it. Also the so-called non-slip floor with its bobbly concrete is giving me corns. And where is a safe dry place to put all your bits and pieces - including loo roll - in a wet room? There isn't.
Everything stays soggy. It's mould-inducing and horrible.
There are many "safe" baths these days - the "sit on a canvas strip and be lowered down" variety, or, if that makes you nervous, one with a watertight door in the side. Of course, you have to empty such a bath before getting out of it, but anyone worried about getting cold needs to man up!
The bottom line is, a shower does not get you as clean as having a good soak. (Who's going to wash your back?) And what if you get stuck inside the cubicle with a door that won't open? Ever thought of that?
Iinstall a shower if you must, if there's room for one, but please - don't get rid of your bath. Upgrade the design of your bath, stay safe, and enjoy a good long relaxing soak with soft music and tea lights.