If you are planning on moving your household plants with you to the new location, do not water plants for a few days before the move. This will allow the dirt to dry a little and be less messy when moving. It is easy to clean spilt dirt then it is to clean up mud.
Put plants into a large open box, so if they tip over the dirt will spill into box and not your car or truck. If you do not think your plants will survive the move, find a good home for them offer then to friends, neighbors, or the new residence of your home.