The procedure preliminary to the construction of any sidewalks, crosswalks or curb stones shall be as follows.
(A) A property owner may, of their own volition, proceed with the construction of sidewalks, crosswalks or curb stones after having received permission therefor from the Council.
(B) The Council may, of its own initiative, or by petition from the property owner affected, order the construction of such sidewalks, crosswalks or curb stones, as the public safety and convenience may require, proceeding therein in the manner prescribed by law.
(C) The Council, of its own initiative or by petition from the property owner affected, creates a special improvement district for the purpose of carrying out said construction, and proceeding therein in the manner prescribed by law. (1985 Code, § 12.02.040)