My girlfriend and I and some friends are coming out to NY from LA for the holidays. Any suggestions for places that ONLY NY (no chains as I want to taste true NY cuisine) has to offer? Romantic restaurants (Nirvana), local favorites, pizza (As NY is famous for this, Lambardi's?) late night eats, street vendors, hole-in-the-wall places, any cuisine, any price ratio is ok. We will be staying around ''Battery Park'', so it would have to be fairly close to there, but we can travel as NY has a good transit system, any suggestions would greatly be appreciated. We're pretty much set on the ''sight-seeing'' part.