So far it sounds like you’re doing a lot of things right! It may just be a case of being patient and continuing to do what you’re doing. In my experience, even a social bunny can take months or a year to bond with a human, and less social bunnies are harder of course. She just needs to get used to your movements and and learn what to expect. Once she realizes a hand reaching for her means food or pets (which you said she enjoys) she’ll be less skittish about it, but it will take time.
Ignoring bunnies works pretty well. Sit and read a book, and eventually she’ll be curious and come to check you out. You can offer a treat when she does (which it sounds like you are).
For doing nails and things, I’ve found that also takes time and just doing it. The more confident you are, the more relaxed they will be, but it’s hard to be confident handling a bunny if you’re not used to it. I took mine to the vet for nail trims for a couple years actually. I only started doing it myself (with a helper) the last couple years when we both got more comfortable holding them. It’s great that you’ve got her jumping into a basket! I always try to let my bunnies be transported in a carrier or something instead of directly picking them up. One of mine wouldn’t cross the hardwood floors in our old house, so he would get in his Maze Haven and wait for me to carry the whole thing out into the living room.