“you have 60 calendar days from the date you begin to live in DC to register your vehicle with DC DMV. You must first convert your out-of-state driver license to a District of Columbia driver license or non-driver identification card.” https://dmv.dc.gov/service/initial-registration-new-or-used-vehicle

Registering your car when you move out of state isn’t really optional. Also if you don’t have a zone resident sticker you’ll have to move your car every couple of hours most places.