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Just do it one job at a time, and take your time. I definitely think putting trim on is doable for a DIYer, and you shouldn't need many tools. I would watch lots of videos, start with small bits that won't be too visible, and again, take your time. Getting things neat and accurate takes an inordinate amount of time when you first do it. Youtube is great for stuff like this, and definitely watch a few videos - each one will usually have an extra tip to help keep you right.
Make a list of what jobs you want to do, figure out the tools and materials you need, and try and figure out how long they might take. It may not be worth the stress on top of an already stressful job. But it might also help you feel a bit more in control. Hopefully watching videos will give you an idea of what exactly is involved, and thus if you're prepared to give it a go or not.
Cheers. Do you reckon this stuff is worth doing DIY? I was just compiling a list of annotated photos to try to assist the sanders and finishers to get a more accurate quote (they've been in, but it's a bit of a scatter gun approach until I decide what I want to achieve).