Rent a U-Haul trailer that will accommodate your queen-size mattress. A queen size mattress is usually 60 inches wide and 80 inches long, according to the Sleep Better Council. A U-Haul trailer with a 5-by-8-foot space can accommodate this mattress.
Strip the mattress of sheets and covers and place it into a mattress bag. If you do not have a mattress bag, then protect it with old sheets, blankets or tarpaulin. Place the covered mattress in a mattress box for further protection, if one is available. You can obtain a mattress box from a moving supplies retailer.
Place the mattress flat on the floor of the trailer. This is the best position if the mattress has a pillowtop surface. If the mattress does not have a pillowtop surface, and the trailer is enclosed, then you can stand it on its side in a diagonal position. This position creates space for other items, especially those that must stand on a hard surface.