While this may seem like just another thing that’s added to your plate, make copies of all of the keys before you move. In all of the chaos of the move it would be easy to misplace a key, and that is the last thing you want to deal with on your moving day.
If you have recurring local monthly memberships be sure to stop them before you move.
You will need to have a forwarding address for your mail so that your bills go to your new home. You can do this on the USPS website.