For your feet - see a podiatrist rather than get a pedicure. It's a bit more expensive but they really will take care of any neglect on your feet and may have helpful advice for looking after them. A pedicure won't di enough to remove hard skin build up.
Agree that a shower hose attachment for your tap might be good.
See your gp for support with weight loss and mental health, if you're over a certain bmi their might be medicine options that can help like saxenda.
If you can't manage baths every day, a gentle wash at the sink will be fine, just make sure you're reaching the bits that need most attention. Emma's soaps are very gentle on sore skin or you could use a baby brand. Bamboo flannels are incredibly soft and won't hurt your skin:
Bamboo Washcloths (6-Pack) -Baby Washcloth Ultra-Soft Absorbent Towels for Baby's Sensitive Skin - Size 10"x10" - Baby Registry Gift- Naturally Antibacterial (Multi-Colour) amzn.eu/d/bW8tQjM
You can buy extra strong anti perspirant on amazon, including as wipes, don't use on sore skin buy this may help. Reaching aids are also available if you struggle.
ETAC Body Washer, Long Handled, Bathing Aid, For Elderly/Injured/Handicapped, Bathroom Assistance, Wash Hard to Reach Areas amzn.eu/d/9PgUTof
A portable handheld bidet will also help with intimate areas. A cheap plastic measuring jug kept on the bath side is great for assisting with hair washing.
Fresh sheets weekly, whether they look dirty or not, will help your skin by keeping bacteria away and you'll feel much better slipping into them at night. Washing on 60 or 90 will keep them fresh, bacteria free and white.
I know this has been a shock and it's natural to feel overwhelmed and stuck. Please do speak with a supportive gp about your mental health because it sounds like you've experienced a bit of a breakdown. You might also like to see if you recognise adhd symptoms in women in yourself as some of the struggles you describe could fit with this.
Start basic, with little manageable steps and build from there. If you have a day where you cannot face a bath then a gentle wash of the important bits will suffice. You don't need to make ot complicated, simplicity and support are key.