In New York City, the Supreme Court exercises both civil and criminal jurisdiction. Outside New York City, Supreme Court exercises civil jurisdiction, while County Court generally handles criminal matters. These are both considered trial courts of superior jurisdiction.
The trial court of limited jurisdiction in New York City is the NYC Criminal Court. Outside New York City, the trial courts of limited jurisdiction are the City Courts, which have criminal jurisdiction over misdemeanors and lesser offenses, and the District Courts in Nassau County and parts of Suffolk County. which have criminal jurisdiction over misdemeanors and lesser offenses.
Cornell University Law School's Legal Information Institute maintains a free current version of the Federal Rules of Criminal Procedure that links directly to relevant sections of the Federal Regulations and United States Code.