For the purpose of nominating and electing the elective officials of this City provided for in this Charter and fixing the salary of those to be elected in the regular municipal election of 1961, this Charter shall be in effect from and after the date of its approval by the electors, and for all other purposes on and after the first day of January, 1961. At the regular municipal election of 1961 there shall not be an election for the offices of treasurer and solicitor. The treasurer, solicitor and auditor elected at the regular municipal election in 1959 or their respective successors shall continue in office after December 31, 1961, until, as to the solicitor there shall have been appointed a Director of Law, and as to the treasurer and auditor there shall have been appointed a Director of Finance; upon such appointments, respectively, they shall cease to hold office and their offices shall be abolished. The above effective date shall not limit the term of the Mayor and Members of the Council elected at the regular municipal election held November 3, 1959. The Mayor and Members of the Council shall have all the rights and powers provided herein the same as if they had been elected under the provisions of this Charter and shall continue in office until their successors are elected and qualified under the provisions of this Charter. All other elective officers and all appointees holding office at the time this Charter goes into 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 the duties of any such office. When such provisions shall have been made, the terms of any such officer shall expire and the office shall be abolished.