Then apply for power of attorney as clearly your father isn’t up for the task (the chiropodist appointment being a good example)
I am a Nurse and worked in a home many years ago, my Gran was also in a home. Sure they vary, I believe chiropodists cut toenails (many older people have diabetes and require this service) so that can be arranged via the nursing team on a 6 weekly basis.
Hair and Nails, can be arranged within the home, my Gran lived in a home with an in-build Salon, the ladies and men were well cared for. Is a visiting beautician and hairdresser possible to arrange with the home? Raise it.
If not take her out once a month to have her hair and nails done. My mum was the only sibling out of 5 to ever take my gran out for lunch, shopping etc… sure she was in a wheelchair, it’s manageable for an hour or two. Especially if wearing a pad.
Clothing buy stretchy everything as will be easier for the care staff to dress her, especially sleeves and cardigans. She may get through a lot of clothes so bring/buy double. Make sure it can be tumble dried. Buy bright coloured tops, cardigans and dark trousers. Skirts and long socks/stockings are also a great option. A nice warm, fluffy M&S Gown for the evenings and slippers (enclosed, safe with a back for the heel)
Screw wearing a bra, a vest top will do the job.
I remember being so busy in the morning, I would get up 2 residents at once, running between rooms. Try to make it easier for the care staff to succeed. Politely inform them your mother likes to have her hair brushed and set in the morning, maybe she could have a bit of powder and blush applied (easy for care staff to apply) and that her favourite necklace and perfume is applied too.
I would also recommend a Radio for her bedroom and a Newspaper delivery set up, so you know she has something special to do daily. That will ease the guilt about not visiting daily (quite rare in my experience)
You may have to pick up jobs you don’t want to do, I.E plucking your mothers chin hairs, arranging eye tests, glasses, foot care etc as the Nursing team are probably too under resourced to do a 110% job.