The easiest would to freeze your lime, sugar water mixture in a elongated pan. When it is almost frozen, scrape it up by drawing a fork across the surface until everything is broken up. Re-freeze and do it again 2-3 more times.
I love lime sorbet and here's a great recipe: 1 cup sugar 1 cup key lime preserves 1 lemon, zested and juiced 1 lime, zested and juiced 4 cups lime flavored club soda or seltzer Kosher salt Combine sugar, preserves and 1 cup of the soda in a medium saucepan and stir over low heat until sugar and preserves are melted. Add citrus juice and zest. Stir in the remaining soda, move to a clean, lidded container and chill thoroughly, 2 to 3 hours. Turn mixture in ice cream maker per maker's instructions or until mixture reaches the consistency of a firm slush. Return mixture to lidded container and harden in freezer 1 hour before serving. If sorbet is to be held frozen for longer than 2 hours, move from freezer to refrigerator for about half an hour before serving. If you'd like a more assertive sorbet, double the amount of citrus zest. Hope you enjoy it as much as I do!
