Schedule your auto shipping at least 4 weeks before you move. It will give you enough time to make arrangements with the auto mover to pick up your vehicle.
Make sure to get a 3 day guaranteed window for the pick-up and delivery dates of your car. Insist on having it in writing. More information on rent moving truck here.
If you are not available, you should arrange an alternative authorized party such as neighbor, friend or relative you can trust to transfer the vehicle to the auto mover.
Make sure that if you or an authorized party is not available to receive your car, that it will be stored in a secure storage facility where you will be able to pick it up at a more convenient time. This may be subject to additional charges.