My twins (and one of Dee's girls) were shipped from Canada to the US and I needed to get a bunch of paperwork from Fish and Wildlife. I'm guessing that driving is different - how are you planning on getting them to the US? driving or plane? if you are flying you'll need paperwork and I would highly recmommend finding out where on the plan they will be and how they are handled.
in my case they were handled as cargo. I made a point of calling ahead (a week, the day before and again that morning) and talking to a person who handled all live animals on the flight they were on. He was supper nice and made sure they were taken care of and that they were held in an office, not the huge cargo hold area. And this was at JFK airport in NY, so if they would do that for me I'm sure smaller airports will be just as helpfull. I think being in an office was great for them (I was there a few hours later and would have been there as soon as they arrived, but lucky boys cought an early plan (happens with cargo) and arrived 12 hours earlier than I expected.
Even if you're flying on the same plan, not all airlines handle non cats and dog the same way and they may not come off the plan with your lugage - you may still need to talke to the cargo people.
BTW - where are you moving?