N.Y. Fam. Ct. Act § 1118
The provisions of the civil practice law and rules apply where appropriate to appeals under this article, provided, however, that the fees required by section eight thousand twenty-two of the civil practice law and rules shall not be required where the attorney for the appellant or attorney for the movant, as applicable, certifies that such appellant or movant has been assigned counsel or an attorney for a child pursuant to section two hundred forty-nine, two hundred sixty-two or eleven hundred twenty of this act or section seven hundred twenty-two of the county law, or is represented by a legal aid society or a legal services program or other nonprofit organization, which has as its primary purpose the furnishing of legal services to indigent persons, or by private counsel working on behalf of or under the auspices of such society or organization. Where the attorney for the appellant or the attorney for the movant certifies in accordance with procedures established by the appropriate appellate division that the appellant or movant has been represented in family court by assigned counsel or an attorney for a child, pursuant to section two hundred forty-nine, two hundred sixty-two or eleven hundred twenty of this act or section seven hundred twenty-two of the county law, or is represented by a legal aid society or legal services program or some other nonprofit organization, which has as its primary purpose the furnishing of legal services to indigent persons, or by private counsel working on behalf or under the auspices of such society or organization, and that the appellant, who has indicated an intention to appeal, or movant, continues to be eligible for assignment of counsel and, in the case of counsel assigned to represent an adult party, continues to be indigent, the appellant or movant shall be presumed eligible for poor person relief pursuant to section eleven hundred one of the civil practice law and rules and for assignment of counsel on appeal without further motion. The appointment of counsel and granting of poor person relief by the appellate division shall continue for the purpose of filing a notice of appeal or motion for leave to appeal to the court of appeals.
N.Y. Family Court Law § 1118