I think it's reasonable to expect the city to start off wintry given the ultra dry air mass working into the Northeast now. The warming aloft on SW flow is swift, so any snow will be brief, with pellets more likely, and probably some freezing rain in NNJ, Bronx, White Plains, etc.
Still plenty of evidence Monday could deliver, but I still don't think we'll have much confidence in this until late Sunday evening, or more likely, early Monday.