It would be nice to believe that your vehicle move will go smoothly and safely with no damage or problems. However, not all moves go this way.
In order to take up a damage claim with your shipper or insurer, you will need a record of what changed between the time you handed the vehicle over for shipping and the time it arrived at its destination.
Begin by cleaning the vehicle before shipping (so that you can see any existing damage easily). Document its condition with a camera and date the pictures; make notes of any existing scratches or dents.
When you pick up the vehicle, bring your camera and photograph it again. Go over your notes and make sure no new points of damage can be seen.