The activities for a business-critical project such as a warehouse move need to be in good hands. You need dedicated resources which are committed to the mission and who have some “skin in the game”. Your resources play an important role in getting the transition done in a smooth way, especially in peak periods such as the actual move or the cleaning out the old warehouse where you need a lot of helping hands.
Sure enough, your resources also have a day job and they will have to focus on other commitments, but at least make sure you make good estimates for the labor intensive activities and get those resource commitments from the department heads.