SEEKING ASIAN DAYCARE 19MTHS OLD

Just thinking out loud, I would guess that there might be several options in areas like Bensonhurst and Sunset Park / Bay Ridge that have a large, strong base of Chinese residents.

You might have some luck calling the following for recommendations:

Brooklyn Chinese-American Association (BCA)
http://www.bca.net/eng/home.html

Their contacts page has a bunch of potentially helpful numbers for their various offices:
http://www.bca.net/eng/contact.html

Good luck!

or, one could go about it thru the NYC DOH.

https://a816-healthpsi.nyc.gov/ChildCare/Search.do

Although "chinese" isn't among their search fields, once can search by neighborhood.

....as noted, one would expect (hope?) that a daycare located in an area with a large Chinese-american population would have some teachers and kids who speak Chinese. (some of the names of the agencies may also give hints)

Try these guys They have been very helpful over the years.
http://www.alsoknownas.org/organization/organization.html

The core is made up of teenage and young adults adopted from Asia. Although it started as a mentoring for Koreans it has expanded to include Chinese also.
They would have a more "insiders" sense of placing your kid in a immigrant school situation as opposed to (for lack of a better word) "American" school that might teach Chinese.