Your driver will contact you 24 hours prior to delivery. The moving company will assign a customer service representative as your primary contact and they will be able to provide you with an update as to the date your goods will arrive.
Be certain to provide the driver with all your contact information. The phone number at the new home is only good if there is a person there to take the call. If you can be reached at work, a hotel or temporary residence or by email let the driver know. If you will be impossible to reach, make arrangements with a friend or family member to serve as the liaison between you and the driver and provide the driver with that contact information.