It is unlawful for any person to permit any public nuisance as defined in § 137-9 to remain on any premises the person owns or controls within the City. The City Council may by resolution order the nuisance abated. Before action is taken on that resolution, the City Council shall publish notice of its intention to meet to consider taking action to abate the nuisance. This notice shall be mailed to the affected property owner and published once no less than one-week prior to the meeting. The notice shall state the time and place of the meeting, the street affected, action proposed, the estimated cost of the abatement and the proposed basis of assessment, if any, of costs. At such hearing or adjournment thereof, the City Council shall hear any property owner with reference to the scope and desirability of the proposed project. The City Council shall thereafter adopt a resolution confirming the original resolution with modifications as it considers desirable and provide for the doing of the work by day labor or by contract.