Getting carers is a long process which can be addressed by a trip to his GP as a first step. At his advanced age, this is something which was probably going to be needed anyway, so it's a good idea to get the process started.
In the meantime, you're not going to get much help for the next few days. I'd suggest that you get that walking frame for him , and do the bathing yourself.
The best way to do it is this - get him to sit down and take off his top clothes , and loosen his pants. Then he stands up , leaning on his walking frame , and drops his pants which you then remove. Wrap a towel around him . He then walks into the bathroom ( or the kitchen sink if he can't get to the bathroom) and stands near the sink, and you give him a "bird bath" with him helping if he can. Then wrap him in a towel again. He then walks to a chair and sits down. You help him to put a clean shirt on. And put underpants / trousers up to his knees. He stands up and you pull his pants up and fix his belt and adjust everything.
Good luck !