Whenever the governing body of the municipality shall advertise for bids for the construction of any new sidewalk of any kind, or for the construction of new sidewalks in the place of sidewalks condemned, or whenever the city, town or village shall advertise for bids for paving, macadamizing, guttering, curbing, or otherwise improving any street, avenue, alley or other highway or any part thereof, and shall receive no bids therefor, the city, town or village may proceed to construct or reconstruct any sidewalks, or pave, macadamize, gutter, curb or otherwise improve any street at its own expense, and shall keep an accurate account of the amount expended for labor and material, including grading and filling, opposite each lot or piece of ground, and present the same to the governing body of the municipality for assessment, and each lot or piece of ground abutting on the sidewalk, constructed or reconstructed, or other street improvement made, shall be liable for the costs thereof, as reported to the governing body of the municipality by the officer or committee having charge of the matter, and special tax bills shall be issued for the amount thereof, payable to the municipality, against each lot or piece of ground for the amount for which it is liable. In making the assessment there may be as many assessments included in one ordinance as there are lots or pieces of ground reported as having received resulting benefits from the improvement. The special tax bills payable to the city shall be as valid in all respects as other tax bills provided herein, and where any tax bill has been assigned the municipality shall not in any event be liable for any cost that may accrue in any court action brought in the name of the municipality to the use of the holder thereof, nor shall the municipality be liable for the amount of any tax bill after the same is so assigned.