Add the peaches, strawberries, and water to the bowl of a large blender or food processor and process until pureed.

Pour the pureed peach and strawberries through a fine mesh strainer and into a large bowl. Use a spoon to help push the puree around and through the strainer. Discard any bits remaining in the strainer and set bowl aside.

Add the granulated sugar and water to a small saucepan over medium heat. Bring mixture to a low boil, stirring occasionally. Allow mixture to boil for 3 minutes or so, or until mixture becomes syrupy. Set aside to cool.

Fill a large pitcher with ice. Add the fresh lemon juice, peach and strawberry puree, and simple syrup. Mix well to combine. Fill with water (approximately 6-8 cups) and stir well. Cover and store in the refrigerator until ready to serve. When ready to serve, serve in glasses with ice and desired garnishes.