Nope, not NYC! The 'burbs of a medium-size city outside of the main NYC MSA. Sorry for being so vague - I'm a little paranoid about being ID'd online!
Rent is going to be the biggest, and I expect heating/electric will hit us as well. Our $500/month place has no HVAC, so we got through the winter with space heaters - cold, but doable. We won't be able to do that with a New England winter, and I'm pretty sure the cost per kwh is more as well. We cooled our current place with ceiling fans and pedestal fans, and we'll do the same in the new place.
Gas is 30-40 c/gal higher than it is here, so I'm anticipating my ~$85/month will go up to maybe...$120? Commute distance will stay the same.
I'm taking a bit of a shot in the dark that groceries will go up as I currently frequent an oddly cheap regional grocery chain here in the Southeast and the few times I've been back home, the basic stuff (chicken, hummus, veggies, etc.) has always seemed more expensive.
A big question mark is that our state government is heavily pushing tolls on the I's as well as major non-interstate roads, which could work out to a few dollars per workday (!) for each of us. We have no control over that (and you've probably figured out where I live now :P )
Those are the major ones I can think of, but I'm sure there will be other things I didn't plan for...