1. Unpolished soft wood flooring. Personally, my bun likes to chew on the carpet fibers. Or even tile would work (easy pee clean up.) If your bun doesn’t like hard floor, you can use some bathroom rugs.
2. Try setting her cage up similarly to how it was at your old place. Give her the same toys, maybe add in a new one.. That way something is usual. Make sure you give your bun extra love while she is getting use to the area.
3. I would probably wait a couple of days (but I am kind of a worry wart.. I’m sure after a day and night it would be fine.. But hey, better safe than sorry.)
4. It’s fine, but you want to keep the bunny FAR away from the paint smell.. Say if you were painting the bottom floor, keep her on the top floor. Keep a fan circulating fresh air both in the place you are painting and in her room.
Hopefully that helped.. I don’t really have any other tips besides that.. Good luck