Once you have chosen a URL for your artist profile, it can’t be changed. You can, however, change your artist name in your artist profile. When people navigate to your artist profile, the URL will always stay constant, but the display name can be changed.
To change your artist name, login to your artist profile and click "Edit Your Artist Profile." Type in a new artist name and be sure to click "submit" and voila! Your new name will now automatically appear and update on all sections of the Minted site.