I'm sure he'll be fine. Just give him time to settle in.
Different story to yours but an example anyway. I have 2 cats and I used to live in Darlington UK. I've moved in with my fiance who lives in Wallsend UK. About 30 miles away give or take. Anyway my cats aren't the timid type with me and when I moved with them they both went into hiding. I could see that they were eating and using the litter boxes but I didn't see them for about a week and a half.
They soon came out of hiding after that but if they got spooked by anything they were back into hiding.
Now you can't stop them from thumping about when playing.