A bath seat can be fitted or a hand held shower hose. Avoid scalding yourself by running the cold tap in the bath first and test the water temperature before getting in. Maybe the shower access can be altered to that you don't need to step over anything to get into it. If getting on and off the toilet is difficult, consider installing hand rails and perhaps a raised toilet seat. Some hot water out of the tap can be scalding.
Many products are available to regulate the water temperature.
Talk to your local county council about this. Avoid using electrical appliances in the bathroom. Other areas of the house Try to keep furniture to a minimum, especially if you have difficulty walking or need to use a walking frame. Avoid having mats on the floor, or make sure they are well stuck down. Check for worn carpet and loose flooring as these can be hazardous.