Downtown is great!

The village is filled with wonderful places.
But, I recommend Tribeca, which would be a 5 minute cab ride north from your hotel.

Nobu, The Harrison, Tribecca Grill, Bouley, Chantrelle (sp?)
and a place I (& more than a few on this board are partial to):
Dylan Prime (on Laight street)

Check out a copy of Zagat to see write-ups & reviews.
You could also check out citisearch.com for NYC restaurants.

If you are going in 2 weeks, I would suggest that you make reservations asap..

Best: Doug