Most states have signed compacts that recognize each other's drivers' licenses as valid as though they were issued in the home state. This is to make it easy on visitors and tourists. Of course if you do intend to move to another state to take up permanent residence, you have to exchange drivers' licenses and car plates. The time frame depends on the state concerned but usually not exceeding 30 days.
(Denny Crane: "Sometimes you can only look for answers from God and failing that... and Fox News".)