(A) The City Council may designate restrictions on parking motor vehicles on streets within the city limits, including Winter Street and Stephens Street, to the extent permitted by county, state and federal law. The restrictions may include, but are not necessarily limited to:
(1) The designation of certain areas as parking only for motor vehicles used by handicapped individuals;
(2) The designation of specific time periods for an area during which parking a motor vehicle is allowed, or during which parking a motor vehicle is not allowed; or
(3) The designation of a limit on the length of time that a motor vehicle may remain parked at an area.
(B) Any restriction imposed by this section shall be marked by appropriate sign or other indication which clearly informs the public of the restriction imposed.