The City-County Park and Recreation Commission shall consist of eleven members. Five of the members shall be appointed by the mayor of the city subject to approval of the governing body thereof. Four of the members shall be appointed by the board of county commissioners. The mayor of the city and the chairman of the board of county commissioners shall be members of the commission and shall be entitled to vote on all matters. The initial appointments by the city shall designate two members to serve a term of three years, two members to serve a term of two years, and one member to serve a term of one year. The initial appointments by the county shall designate one member to serve a term of three years, two members to serve a term of two years, and one member to serve a term of one year. Provided, that the terms of such initial appointees and the terms of all future appointees of both the city and county shall terminate July 31 of that year in which they expire, regardless of the calendar date when such appointments are made. Subsequent appointments of either the city or the county shall be for three-year terms, except in the case of an appointment to fill a vacancy in the membership of the commission, which latter appointment shall be for the balance of the unexpired term of the member whose death, resignation, or removal has created the vacancy. Members shall not be eligible to succeed themselves after serving two consecutive terms. A member of such commission once qualified can thereafter be removed only for misconduct or neglect of duty during his term of office after notice and hearing before the governing board that appointed him. All members of the commission shall serve thereon without compensation. Expenses which are incurred by members pursuant to prior specific authorization by the board of county commissioners and the governing body of the city shall be reimbursed, provided, that expenses incurred for transportation, meals and lodging shall be reimbursed only if incurred in connection with authorized travel outside the county.