To make spritzer with cherry basil simple syrup:

1. Prepare flavored simple syrup (you can read more about that here) by combining 1//2 C. sugar, 1/2 C. water, 1-1/2 C. pitted (use a cherry pitter for ease) and roughly chopped cherries* in a saucepan and bring to a boil to dissolve sugar. Reduce heat, add a few basil leaves (not too many or it will overpower the cherry flavor) and let it simmer about 10-15 minutes to break down cherries. Set aside, let it cool. When cooled, pour mixture into fine mesh strainer and strain to remove solids.
2. In cocktail shaker combine cherry simple syrup, vodka, and lemon juice, Shake well, pour into a tall glass filled with ice. Top with club soda.

To make using the muddled fruit method:

1. Add cherries, basil, simple syrup to glass. Muddle well to break down the fruit. Add vodka, lemon juice, ice. Top with club soda. Stir to combine.