In addition to the method of securing the laying of sidewalks set out in section 20 of this Charter, the Council of said City may cause any sidewalk to be constructed, laid, relaid or otherwise permanently improved in the City of Wellsburg, in the following manner and upon the following terms: Notice shall first be given the abutting property owners by publication for two successive weeks in one newspaper published in said City by giving location of property in front of which sidewalks shall be laid, but no error in said publication shall in any way affect the validity of the certificate hereinafter provided for, or any of them. The contract for same shall, after due advertisement in which Council shall reserve the right to reject any and all bids, be let to the lowest responsible bidder and upon completion and acceptance of the work, Council shall order the Mayor and City Clerk to issue to the contractor doing the work a certificate for the amount of the assessment to be paid by the owner of any lot or fractional part thereof fronting on such sidewalk, and the amount specified in said assessment certificate shall be a lien in the hands of the holder thereof upon the lot or part of a lot fronting on such sidewalk and such certificate shall draw interest from the date of said assessment, and the payment may be enforced in the name of the holder of such certificate by a proper suit in equity in any court having proper jurisdiction to enforce such liens and Council shall fix the amount of such assessment and do all things in connection therewith necessary as is provided for paving or improving streets and alleys and such certificates shall be issued one for each abutting lot or portion thereof payable six months from the date of the completion and acceptance of the work and shall be a lien in the hands of the holder thereof upon the particular lot against which they are assessed in the same way and manner and of the same effect that assessments for street paving liens under the other provisions of this Act created; provided, however, that Council shall not receive any bids or let any sidewalk contract between the first day of October and the first day of March of any year. Nothing in this section shall be so construed as to prevent any abutting lot owners from having his own sidewalk put in if done before the advertising hereinbefore mentioned and provided same is done according to the lines, grades and specifications of the City Engineer, for which no charge shall be made. The total cost of constructing, laying, relaying or otherwise permanently improving any sidewalk or walks shall be borne by the owners of the land abutting upon said sidewalk; corner lots shall be assessed for the amount in front or alongside of said lot and extended to the curb line.