You'll have to take a good sized cage and all accessories as well as a heating set up. You will need everything you have for him at home, you don't want to be cutting corners and trying to make do with less than optimal items. You'll need to bring enough water to last the entire trip as well as changing water can make some hedgehogs sick or stop drinking. Unless everyone in the trailer likes to be really warm all the time you'll need to heat the cage. You'll also need a way to keep him from overheating on hot days without getting chilled by the AC if you run it.
For travelling you'll need a hard sided cat carrier that can be seat belted into the vehicle.