Petition for (Custody) (Visitation). Where to File for Custody.Custody cases are usually started in Family Court. If you need help filing your petition, you may also contact an attorney, like me (George M. Gilmer, Esq. 718 864 2011), that can help you with the process. A custodial parent may file a petition with their local child support agency. Intheblanks form required for any matter originating and electronically filed in Supreme or Surrogate's Courts in Richmond County. Petition Information Sheet Custody Visitation Guardianship Writ (Family Court Kings). Any adult may file for visitation of a child. The standard that the Court will use, however, is the best interests of the child OR consent of the parties.