While no one enjoys helping others move, if you ask your family for help well in advance then they will be more apt to help you out.
Be sure to choose a moving date that makes sense for you. You do not want to cause yourself stress unneeded.
While this may seem like just another thing that’s added to your plate, get copies made of all of the keys prior to you move. In all of the chaos of the move it would be easy to lose a key, and that is the last thing you want to deal with on your moving day.