If you can't do everything in one day, do one thing per day.
So Monday, wash hair, wrap it in a towel for 5min while you clean teeth, use leave in conditioner, comb it and if it's long plait it so it stays tidy for longer.
Tuesday, take a shower or bath. If it's a bath use bubble bath because soaking in it will get you cleaner than using nothing. Whether it's bath or shower aim to wash your face, feet, underarms and genitals. Use antiperspirant deodorant, face moisturizer with SPF in it, lip balm to stop them cracking, baby powder on your feet will keep them fresher longer. Don't bother with body cream unless you want to or you have a medical need for it.
Wednesday, so laundry. Get it dry somehow doesn't matter how. Tumble dryer, line outside, airer inside, flung on radiator or curtain rail. Air your rooms to get rid of the damp air.
Thursday, change bedding and towels, get them washed and dried.
Friday, a bit of everything. Teeth cleaned, floss and mouthwash. Wash face, underarms, genitals and feet. Change clothes.
Saturday, eat at least one healthy meal with vegetables and get outside into some daylight, even if it's just sitting on the doorstep with a cuppa.
Sunday, run the hoover round including the hard floors. Clean your toilet, bath and sinks. Wipe your door handles and bannister.
If you can manage all this you'll have covered the basics and prevent anything important deteriorating too much for too long. You'll have to push yourself to do it which will take practice to achieve. Every day is a fresh start so don't worry about anything you didn't manage yesterday, that's in the past and beating yourself up about it won't help. You will learn to live with your depression and become better at doing that. You'll find you get more functional with practice, until you're managing the daily basics daily and the weekly ones weekly. Hopefully at some stage you'll recover from it completely.