Hey Enrique,
As everyone else has pointed out above, the 'exodus' from NYC has been oversold. If you're looking for a place in NYC or Brooklyn there are a few things you need to consider:
First: Establish a price point (very standard) The reason I say this is because in NYC you're going to be dealing primarily with Condos or Co-ops, this means you're going to be dealing with HOA's or other boards, and they will take a lot of time for interviews and reviewing your paperwork. So you want to save time for yourself and cross of anything thats going to waste your time.
If you're looking for an apartment in the downtown area, there are a lot of owners that are making concessions (like 2 months free) for new tenants. If none of this sounds appealing then you also could look in Brooklyn, where rates are going to follow the trends on long island. Inventory is low right now, and between this and low mortgage rates, house prices are high.
Second: There is a lot of competition for existing inventory which has led into lots of bidding wars. So you need to make sure that if you hire a local agent to help you with your search, that they're adept at negotiations and know how to handle all of the above.
Third: reading the above might make some apprehensive and nervous about looking into the market but there are deals to be found in any market and this one is no exception, it's just good to operate with clarity about what's going on so that you can act accordingly.
Hope this helped a little bit.
Best regards,
Brandon Keany