All records, property, and equipment whatsoever of any office, commission, board, or department or part thereof, all the powers and duties of which are assigned to any office, commission, board, or department shall be transferred and delivered to the office, commission, board, or department to which such powers and duties are so assigned. If part of the powers and duties of any office, commission, board, or department or part thereof are by this Charter assigned to another office, commission, board, or department, all records, property, and equipment relating exclusively thereto shall be transferred and delivered to the office, commission, board, or department to which such powers and duties are so assigned, as the Mayor shall direct.