We need to monitor the wet bulb temperature as precipitation commences. If it's low enough for the city to get down to about 28-29, they might stay below freezing for a while as low level cold is hard to scour out and is often not modelled correctly. Right now (as of 1 o'clock) Central Park was 32/7, obviously the dp will rise a lot as clouds thicken but if they're something like 34/24 when the precipitation moves in they'll probably stay below freezing a bit longer.
Given the borderline temperatures, the difference between freezing rain and sleet will be huge, as sleet will accumulate in pretty much any temperature while freezing rain won't be a big deal in anything over 29 or so.