Pawian is correct in saying they do not seem to clear the footpaths although this is illegal and all property owners have the legal responsibility to clean the footpath in front of their homes/business.
Yes, private property owners take care of the pavement in fear of heavy fines.
The problem is with parts of streets owned by the town.
Look for a place to stay close to ul Krupówki which is the main street.
Even side streets leading to Krupówki were icy.