While this may seem like just another thing that’s added to your plate, make copies 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.
If you are looking to keep it cheap, you should move over winter. Winter is when rates tend to be the cheapest.
The primary reason that a person makes a career-based move is due to the desire to have a easier commute. The current average commute time in the US is 26.6 mins.