For parking in city rights-of-way and other city controlled parking areas under the control of the transportation department, the director or his designee is authorized to:
(1) Make recommendations to city council to establish or modify the boundaries of paid parking areas. In making these recommendations, the director may consider the factors in Section 28-103.1(b).
(2) Establish or modify the hours when paid parking is in effect in accordance with Section 28-103.2(e) and (f).
(3) Establish rates to be charged at paid parking payment devices, within the limits established this division.