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 misplace a key, and that is the last thing you want to deal with on your moving day.
You may feel pressured to just donate or toss all of the food in your house, but a number of items like olive oil and other ingredients can and should come with you.
If you are looking to move cheaper, you should move over winter. Winter is when moving rates are the lowest.