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.
A cardboard moving box can be used anywhere from 3 to 10 times before it needs to be thrown out.
If you are looking to move cheaper, you should move during winter. Winter is when rates are the cheapest.