In January, 1967, and in January of each year thereafter, the Council shall meet in the Council Chamber and organize. At such organization meeting, or as soon as practicable thereafter, the Council shall elect one Councilman as the Vice Mayor and one Councilman as a member of the City Planning Commission, each to serve for the balance of that year and until his or her successor shall have been elected unless he or she shall cease in the meantime to be a Councilman. The Council shall also appoint a Clerk of Council who shall serve at the pleasure of the Council.