All persons holding office at the time this Charter goes into effect shall continue in office and in the performance of their duties until provision shall have been otherwise made in accordance with the provisions of this Charter for the performance of the duties of or the discontinuance of any such office. When such provision shall have been made, the term of any such officer shall expire and the office be abolished. The powers which are conferred and the duties which are imposed upon any officer, board, commission or department of the City under the laws of the State shall, if such officer, board, commission or department is abolished by this Charter, be thereafter exercised and discharged by the officer, board or department upon whom are imposed corresponding functions, duties and powers under the provisions of this Charter.