Any suggestions for how to keep area around toilet clean?

My dad has been in a wheelchair for 18 months. He has a toilet seat chair but it not helpful when he has to pee. I know he still tries to pee by himself standing up but at least one aide in the bathroom with him. He is 88 with advanced dementia. His hands do shake and pee is always getting on the floor. He is not real keen on using a plastic urinal as he cant hold it by himself. So his floor by the toilet is always sticky and has to be washed several times/day. Can't put a rug down due to trip hazard. Any suggestions other than washing floor several time/day? His AL is looking for suggestions.