Thank you for reaching out, you are far from alone with this but it can be so hard to take a first step.
I imagine that at 36 years old you have tried before to learn how to do these things, and that means that a list telling you to do things might not achieve the desired results. I'm curious about what things you have already tried, and what the barriers to those were?
You have also been fairly clear that early trauma and feeling unworthy of care play a significant role in the difficulties initiating tasks of self care. This can change! Although it takes time and regular attention.
Have you ever played The Sims? You have to take care of a human (Sim), and they have bars representing their basic needs (eating, sleeping, toileting, hygiene, social interaction and fun). It is very tricky to get all bars full up at the same time, but the idea of treating yourself like a Sims character may help (because it is usually easier to be compassionate to others than to yourself). Think about what your greatest need is (which bar is empty) and then do one task towards that. Keep it small and celebrate those wins.
When you first wake up, what need is greatest?
I have friends whose challenge with daily living can be based around trouble initiating tasks - they need and want a shower but find it hard to get themselves to go into a shower. If that is similar to you some of the tricks others have found helpful have been to put on a face mask (sensation makes them want to shower after a while), or to decide to just put the shower on (not to get in to it) and see what happens next (if anything). My friend who tried this finds some days it helps them to move onto standing in the shower, even if they do not wash. Sometimes they just turn it off again. More often than not it helps them have a shower though.
With shopping and cooking - find a way to cheat. Cheating is winning. Make it easier to eat something in the house and buy the easy to eat stuff. Get soup that can be microwaved, get the supermarket ready meal (it will be cheaper than takeaway). What would you do if you were giving advice to a dear friend who was struggling with cooking?
I find that if i write down in the morning what i am cooking that night, i am much more likely to cook it than i would be if trying to decide what to cook when i am already hungry. I batch cook - not because i am organised but because i am lazy - it gives me stuff i can heat up and eat most nights when i cannot be bothered to cook.
I find setting a timer (5 minutes, 20 minutes, whatever feels manageable) and just facing a task with the attitude of doing what fits in the time rather than getting it all done, or all perfect, can really help me.