If you move, Colorado law requires you to update your address with the Colorado DMV within 30 days of the move.
Why is this a big deal? First, a violation of this section is a class B traffic infraction and you are subject to a fine of $100. But more importantly, if the DMV needs to contact you regarding your driving privileges, which often happens in the context of a DUI accusation, they will send notice to your last known address. Colorado law says that placing notice in the mail to your last known address shall be presumed to have reached you. As a DUI lawyer, one of the first questions I ask every client is if there address is current.
Changing your address is easy. You can do it online at the DMV's website. https://www.colorado.gov/apps/dor/addressChange/welcome.jsf