The terms of office of the members of the Council shall be for six years and until their successors are appointed and qualify, except that of the initial members, one shall be elected for the term of two years, one for a term of four years and one for a term of six years. No person who is either a member of the General Assembly or has served in the General Assembly during the preceding two years shall be elected to the Council. Any member may succeed himself on the Council. The Council shall elect its own chairman.