Summary: With regard to forecasts, the NWS is taking a conservative view as usual, but the NWS in Mt. Holly upped their snowfall totals at 4 am relative to 4 pm yesterday, to respond to increases in modeled snowfall, but you can see that the NWS-Upton did not, given the discontinuities at the county interfaces (from 1-2" in Morris/Somerset/Middlesex to <1" across the magical border into Essex/Union/SI (see both maps below and the map from DT/WxRisk, which is a little more aggressive, but looks reasonable to me). Also, note that this means that much of the 1-2" of precip that will fall from Monday afternoon through Tuesday morning will be in the form of rain for anyone south of about I-80 (much more snow N of 80 and less rain, but mostly rain south of 78 with some snow by Tuesday morning). This could lead to urban/stream flooding, plus there is a good chance of high winds (especially at the coast) and minor coastal flooding, as this will be a powerful storm.
The NWS has issued winter storm watches for 4-9" of snow for the Poconos, Sussex, NW Passaic, and Orange/Putnam - and everywhere N of 84 in NY and New England (away from the coast) is under watches for even more snowfall than that, i.e., 8-18". And the NWS did say they would likely need advisories for 2-4" for counties along/N of 78, so at least the Lehigh Valley through Warren/Morris and probably Essex/Bergen (and maybe Upper Bucks-Hunterdon-Somerset).
Some Details: Well, the 0Z models last night almost all trended towards significantly snowier solutions and that was just 36-42 hours from the start of the festivities on Monday afternoon, but then 1-2 models took a step back at 6Z (which just came out), but 1 went snowier. We're at a point where the models ought to be converging on some sort of consensus solution...but they're not yet, given how extraordinarily complex and sensitive this setup is to minor perturbations, so stay tuned as the only thing I'm certain of is that there will still be substantial changes from now until the storm starts.
Specifically, the complexity comes from trying to figure out which model is capturing best the progression of a low moving across the SE US and then blossoming into a powerful low off the NC coast and moving up towards us, anywhere from south of LI to east of Cape Cod. In addition, the upper level low energy approaching from the Ohio Valley, is expected to "phase" to some or full extent with that surface coastal low and how much phasing occurs and where it occurs leads to tremendous variability in precip rates and thermal profiles in the column from the ground up to over 10K feet where the snow is being generated (some of which melts into rain on the way down, depending on where one is).
To reflect the wide range of outcomes of the models, without posting them, which would likely be a waste of time, the range of snowfall predicted for New Brunswick is from 0-8" across the models, with most in the 1-4" range and the range of snowfall predicted for NYC is from 0-12" across the models. Similarly, the ranges for areas like Sussex and the Poconos are from 4-18". Crazy - and it makes it very hard to provide accurate forecasts this far out.
Also, keep in mind that some of the snowfall shown on the models is relatively light snowfall accumulating after 12Z (which is now 8 am with DST) on Tuesday with temps at or above 32F in mid-March in NYC/LI/CNJ and that's likely going to be cut down significantly, although not completely, since that snow will be falling on 32F snow already on the ground, not 34-35F bare ground (except paved surfaces that are cleared/treated). So, my guess is the Kuchera maps are a decent guesstimate for snow ratios for that timeframe (probably 6-8" snow per 1" liquid equivalent) and 10:1 probably is good ratio to use before 8 am with heavier rates and before the sun is up too high; unfortunately using either 10:1 or Kuchera for the whole storm is probably inaccurate. In any case, if you like snow you want as much of the snow to fall before 8-9 am on Tuesday as possible.
https://www.weather.gov/phi/
https://www.americanwx.com/bb/topic/58993-march-13-14th-noreaster-threat/page/28/