Any elector may personally apply to register to vote at (1) the office of the election commissioner or county clerk, (2) a registration site at which a deputy registrar is in attendance, (3) a department listed in section 32-310 at the time of an application, review, or change of address as provided in such section, or (4) the Department of Motor Vehicles while applying for a motor vehicle operator's license or state identification card as provided in section 32-308.