This local forecast, using the latest models as of right now, says the heavy parts won't be reaching the NYC area by then. You'l land in an inch or two of snow if they are right, and then by Sunday morning there will be 6-10". So they say. It will probably be wrong because the north side cutoff of this storm is very tight.
http://pix11.com/2016/01/20/winter-s...ri-state-area/
(it's all about me dep't: we'll be making the same trip in a month - J's daughter got her an NYC trip for Christmas, tix to The Book of Mormon)