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.