The mayor shall be the chief conservator of peace within the city. He may appoint and remove the director of public service, the director of public safety, and the heads of the subdepartments of public service and public safety, and shall have such other powers and perform such other duties as are conferred and required by law.

In any city the legislative authority thereof may, by a majority vote, merge the office of director of public safety with that of director of public service, with one director to be appointed for the merged department, and the director of the merged department shall have those qualifications provided in section 735.01 of the Revised Code.