They are transported in or on trailers, some which have graphics as good as the monster trucks which they carry inside.
Some teams have simple rigs, others have eye catching rigs which have living quarters as well.
For some truck teams they may be on the road for weeks at a time, so these haulers are equipped with eveything you would need for this period of time away from home. Here are some pictures of the different Monster Truck Haulers that carries these giant trucks from show to show. If you see any of these on the road, why not give them a wave.