The government of the district shall be vested in a board of three directors, to be appointed by the Governor within 10 days after the creation and incorporation of the district. The regular term of directors of the district after the first term shall be four years. Each director shall hold office until his successor is selected and qualified. Each director shall, before entering upon discharge of his duties, take and subscribe to the constitutional oath of office. Such oath shall be filed with the commission. The first directors of the district shall be selected for terms of two, three and four years, respectively. The death of a director, his resignation, his removal for cause by the appointing power, or his disability to continue for any cause to act as director, or his change of residence from the district shall vacate the office. Within 20 days after a determination of the vacancy by the appointing power, a successor for the unexpired term shall be selected by such appointing power. Each director of the district shall receive compensation from the district for his services as such at the rate of $10.00 for each day he shall attend meetings of the board or when he is engaged upon business of the board, not to exceed the sum of $1,000.00 in any one year. He shall also be entitled to be reimbursed for actual and necessary expenses incurred by him in the performance of his duties required of him by law or by resolution or vote of the board.