The Mayor and Councilmen shall be qualified voters of the City, shall have been residents of the City for at least one year prior to their filing for the office, shall hold no other public office except that of notary public or member of the National Guard or Naval or Military Reserve, and shall not be employed by the City in any capacity. If a Councilman shall cease to be qualified or shall be convicted of any crime involving moral turpitude, his office shall immediately become vacant. The Mayor and Councilman-at-large may be a resident of any precinct or ward of the City, however, each and every other Councilman must reside in the precinct or ward from which he is elected.