At last some lovely sunny weather to cheer you all up, hope it stays that way for a while. The good news is that you, Andy, and Harry are doing well now. Yeh!
But so sorry you are having the issues with your dad! He must be getting better to be ruling the roost as he is! What does he want, a jet propelled stair lift?? I would have thought he would have welcomed assistance for getting up the stairs?? As your family and mum cannot take care of some of his needs, what does he want you all to do?? Is there any way you and your mum can over rule his help hiring decisions, as you all need the assistance. I feel for you and your mum having to do all the extra work because of your dad.
Perhaps if he is left to fend for himself for a while he might better appreciate and accept the outside help. As long as you do it, he will feel he can get away with his attitude. Had to laugh at your mum's comments about the nude situation, LOL!
I have heard that it is fairly common for older people who have help to give them a hard time, and one woman I know has exhausted all the caregivers in more than one organization!! Her poor daughter is driven nuts trying to find help her mom will accept. Perhaps they feel bad that they need help at all and will not understand the truth and deal with it.
Hoping you get some resolution soon as you and mum cannot do what he needs alone.
So try and make time from all the parent chores to take care of you, and enjoy the sun!!
Good luck

Hugs, Dot xxxxx