Welcome to our Used Motorhome Centre
In Europe these vehicles are known as Motorhomes: in the US they are always called Recreational Vehicles, or RVs.
Here is the definition from Wikipedia:
" In North American English the term recreational vehicle, and its acronym RV, are generally used to refer to an enclosed piece of equipment dually used as both a vehicle and a temporary travel home. They are also called motor home and motor caravan (or motorhome and motorcaravan).RVs are intended for everything from brief leisure activities such as vacations and camping, to full-time living, for which they are often parked in special trailer parks. (However, many trailer parks are reserved just for mobile homes, not to be confused with RVs/motorhomes.) RVs can also be rented in most major cities and tourist areas.RVs can also be used as mobile offices. When used as mobile offices they often include customizations such as extra desk space, an upgraded electrical system, a generator, and satellite Internet."
Check out RV Trader for a great US selection of motorhomes or recreational vehicles.