Each state sets its own limits for vehicle registration. After a few years, you will need to reapply or at least renew your registration. The renewal process is usually easier and quicker than the initial registration. Many states will allow you to renew your registration on line every year or every 2 years.  In Nevada, for example, you can renew your registration online from any computer.  You can also quickly renew your registration online in Massachusetts. Some states will give you a temporary registration and mail your plates in 2 to 4 weeks. Other states will have them ready for you immediately. Be sure that you do not leave the DMV office without understanding their process for this. Some states will charge you a fee if you do not return your license plates.  New York, for example, requires that you return your old plates when you register the vehicle in a new state. You would need to print and complete the Plate Surrender Application, and then return that completed form with your old plates.  Call the DMV or MVA in your old state and find out where to send them. Your old state's agency might also have this information on their website.
Ask how long your registration lasts. Receive your new license plates. Return your old plates back to the state you moved from.