Make Ahead Tip: Freeze in an airtight container for up to 1 week.
Tips: To pit fresh cherries, use a tool made for the job--a hand-held cherry pitter; it also works for olives! Or pry out the pit with the tip of a knife or vegetable peeler.
No ice cream maker? Pour the strained mixture into a 9-by-13-inch baking pan and place the pan on a level surface in your freezer. Freeze, stirring and scraping with a fork every 30 minutes, moving the frozen edges in toward the center and crushing any lumps, until firm and slushy, 2 1/2 to 3 hours.