At the next regular November election held at least sixty days after the election at which the consolidation is approved by the voters, all county officers provided for by general law shall be elected for the consolidated county. Their terms shall begin on January 1 next succeeding their election, at which time they shall replace all elective county officers of the consolidated counties whose terms shall terminate on such day. The terms of the new officers shall expire on January 1 next succeeding the regular election of county officers in the Commonwealth. All appointive county officers shall be appointed by the person, board or authority upon whom the power to appoint such officers in other counties is conferred. The terms of such officers shall commence on January 1 next succeeding the first election of officers for the consolidated county and shall continue, unless otherwise removed, until their successors have been appointed and qualified. The successors of all such officers whose first election or appointment is herein provided for shall thereafter be elected or appointed at the time, in the manner and for the terms provided by general law.