Take photos of all of your valuables with any serial numbers also.
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.
While packing you should keep important furniture separate from everything else. Be sure to keep these in your car or somewhere accessible so that you don't need to stress out during your move.