Make a simple syrup by combining the sugar with 1 cup of water in a saucepan. Place over medium heat and heat until the sugar is completely dissolved, stirring or swirling the pan occasionally. Let cool.
1 cup granulated sugar, 1 cup water
Once the simple syrup has cooled, puree the cherries in a blender with ½ cup of the cold water. Press the puree through a fine mesh strainer, reserving the juice and discarding the solids.
2 cups pitted sweet cherries, 3 ½ to 5 ½ cups cold water
In a large pitcher, combine the cherry juice, simple syrup, and lime juice and stir to combine.
1 cup freshly squeezed lime juice
Add 3 to 5 additional cups of cold water; the amount you use will depend on your taste, so add as little or as much as you need to achieve your perfect sweet/tart balance.
3 ½ to 5 ½ cups cold water
Serve over ice. If desired, garnish with cherries and lime slices.
Notes
Makes about 2 quarts.
If you prefer a sparkling cherry limeade, stop after step 3 and chill the mixture. Just before serving, top with your desired amount of sparkling water.
If using frozen cherries, thaw them before blending. Do not drain off the juice before blending.