By visiting your local public library, you will have access to one or two of the major Genealogy Sites to search for documents related to your family's history. These can be searched in the library, or, if you get a library card, you can even search these resources from home via the library's website (you will be asked to enter your library card info).
Ancestry.com and Heritage Quest or two common databases available in Long Island, Queens, Brooklyn, etc. library resources.
Call and ask your local public library for help if you can't find the Genealogy Databases.
IF YOU DON'T HAVE A LIBRARY CARD, YOU CAN USE THE GENEALOGY DATABASES AT CERTAIN COMPUTERS IF YOU VISIT ANY PUBLIC LIBRARY. JUST ASK AT THE REFERENCE OR INFORMATION DESK FOR HELP WITH THIS.
There are many sites that are dedicated to Genealogy Research in specific countries. Try searching Google combining the name of a country or ethnic name and the word "genealogy."
"Cuba and Genealogy"
Below are some examples of the types of websites this might direct you to.
Please note: when using non-government websites, be sure to consider the worthiness of the website using the internet evaluation criteria on the accompanying video.