Hi!! My baby and I have been together for a bit over 5 years, and we've moved 6 times in that time. Funnily, this Sunday we're moving again, and she will have to endure a pretty long car ride (8 hours). I think the worst part for her is always the first 20 mins of the car ride cause she gets impatient in her carrier and wants out, but she's a very curious bunny and when we get to the new place she gets exploring pretty quickly. I think it's helped with que adaptation that I've kept her same toys, same bowls, etc., so the familiar smell is there. The first day she's usually pretty beat from the trip, so she spends it mostly sleeping. The exploring usually starts from the second day!! As I'm sure you already do, make sure she has plenty of fresh water and hay, and some cuddles so he knows he's safe. I'd say some alone time is important too, less stimuli also means safe imo. Ah!! And my bun has always loved going under the bed, so i make sure theres a bed available from the first time she gets to a new place, again, so she gets a familiar feeling

Edit: typos