How do I find out when my case is on next?

Call your attorney, or the office in which that attorney works.  

If you want a quick and reasonably accurate website, try WebCrims, the website of the New York State Unified Court System.

WebCrims provides online access to criminal cases with future appearance dates in all criminal courts in New York City and Nassau and Suffolk Counties, the County Courts in the Ninth Judicial District (which includes Westchester, Rockland, Orange, Putnam and Dutchess Counties), the County Court in Erie County, and the Buffalo City Court.