Except as otherwise provided by this Charter, all persons holding office at the time this Charter takes effect shall continue in office and in the performance of their duties until provisions shall have been otherwise made in accordance with this Charter for the performance or discontinuance of any such office. When such provisions shall have been made, the term of any officer shall expire and the office shall be abolished. The powers which are conferred and the duties which are imposed upon any officer, body, commission, board, department or division of the City under the laws of the State, or under any municipal ordinance, resolution or contract in force at the time of the taking effect of this Charter shall, if such office, body, commission, board, department or division is abolished by this Charter, be thereafter exercised and discharged by the officer, body, commission, board, department or division upon whom are imposed corresponding functions, powers and duties by this Charter or by any ordinance or resolution of the Council thereafter enacted.