My mother will be celebrating her 80th birthday in June, and we'd like to organize a festive family dinner for 12 people. Ideally we'd love to find a place somewhere near the High Line or perhaps Central Park, so that we might have a stroll beforehand. We're looking for something fancy but not ridiculously expensive (a la Del Posto), maybe in the $50-100 per person range, with high-quality food and friendly ambience that has vegetarian options and a few dishes kids would eat. Maybe Italian or New American? Any suggestions would be gratefully appreciated!