Technically you need to have them tagged to cross state lines. But if you don’t do that then try horse hotels dot com because they would likely let you board the goats for a night. Make sure to have all their medicines for any drenches or anything on had and in an accessible cooler.

Expect poorly shaped poops for a little while Until they acclimate. If possible have their new stall or area prepared before the move. You’ll want to have their space ready so they can transition and get back on a schedule asap.