Rule of thumb: bring the bunny out of room when making loud noises and/or let bunny get babysat at a close, quiet friend’s/family’s house while you move. Stress can kill a rabbit, so you want to make moving as least stressful as possible
Try to bribe him into his cage with treats, greens, pellets, ect. It might be best if you lay a few feet outside of where he is hiding and talk to him softly. Read a book to him in a soft voice, tell him about your day, really anything. Having you nearby talking in a soft voice and food to bribe might help him realize there is no threat. If he comes out, dont reach for him. When he comes out, slowly bribe him into his cage. Once hes in his cage, close up that hiding spot and any others you can see. While doing this, monitor him. Is he still tooth grinding? Thumping? Ect. If he is, check him over. If hes not, monitor him for the next day or two just to be sure
Teeth grinding is one of two things: hes either purring or hes in pain. You cant really tell unless you see his face (winced/glossy/ect eyes = pain; normal eyes = purring). If hes chattering because hes hurt, youll first want to check out his teeth to make sure none of chipped
For what its worth, its not uncommon for one of my rabbits to faceplant the walls from being too excited while running around (physically disabled + cant always balance correctly while running). Hes never had a problem and usually gets right back up to start binkying and running round again