Is there a risk of falling on wet vinyl or tiled flooring?

Non-slip mats, a fitted carpet or carpet tiles could be used. Wet floor areas should be mopped as soon as possible.

Can you access the bath and/or shower safely?

Non-slip rubberised mats are readily available.  A grab rail may improve your safety / confidence. If you are unable to bathe safely, you may benefit from further assessment. 

Can you get on and off the toilet safely?

A grab rail may be helpful instead of using a radiator or any other bathroom fittings for support.  A handy person would be able to install one.

Further Information