Notwithstanding any provision of law to the contrary, including a general or special act, the City of Norfolk, may, by duly adopted local ordinance, establish fees for the service of process by the office of the high constable. The office of the high constable in such city shall publish a schedule of such fees by January 1 of each year. Copies of the schedule shall be forwarded to the Clerk of the Supreme Court of Virginia. Only in the City of Norfolk, shall high constables execute all processes, warrants, summonses and notices in civil cases before the general district court of the city to the exclusion of the sheriff of the city. Any fees, collected by the office of the high constable for such process, shall be deposited in the treasury of the city wherein such office is situated for use in the general operation of city government.