In addition to the NY lawyer above, many states have school immunity statutes, thus, search Avvo for NY personal injury lawyer and make sure that you are not barred from bringing a claim against the school.
Philadelphia Personal Injury Lawyer. www.InjuryLawyerPhiladelphia.com
In addition to the answers given above, you should consult with a New York personal injury lawyer as soon as possible, as NYC schools, if they are not private, are considered municipal entities. You only have 90 days from the date of accident to file a Notice of Claim, which must be very specific.
This post is for informational purposes only. The above information is not to be construed as legal advice.