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.
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. If you require a specific date for delivery, many auto movers can accommodate you and store your car at a terminal for an additional charge.