Contact your school librarian!

Digital Library Card Application: https://disc.bklynlibrary.org/ecard/

Or start your application for a physical library card at: https://disc.bklynlibrary.org/card/

And pick up your new card at any Brooklyn Public Library location:
https://www.bklynlibrary.org/locations

Digital Library Card Application: https://www.nypl.org/library-card/personal?newCard=true

Or you can visit any one of the New York Public Library locations in The Bronx, Manhattan, or Staten Island to apply for a physical card: nypl.org/locations/directory

Digital Library Card Application: https://www.queenslibrary.org/get-a-card/eUser

Or you can visit a Queens Library location to apply for a physical card: queenslibrary.org/about-us/locations