In a blender, combine half of the water, half of the sugar, and half of the limes, then pulse 5-7 times. Pour through a fine-mesh strainer into a pitcher, pressing the lime pulp with a spoon to help release juices, then discarding the remaining skins and pulp. Repeat with the other half of the water, sugar, and limes.
In a blender, blend the strawberries and cold water. In a lemonade pitcher, add the sparkling water, lemon juice and sweetener you like. Stir the mixture. Place a sieve above the pitcher and pour the blended strawberry mixture to filter the strawberry pulp. Discard the pulp or keep in the fridge to flavor dessert for later.Juice the lemons. Add the raspberries, sugar and 2 cups warm water to a blender and blend until smooth. Strain through fine mesh sieve into pitcher, using a spatula to push the liquid through (discard the seeds; this takes a few minutes to complete). Add 4 cups cold water and the fresh squeezed lemon juice.
In a small saucepan, combine 1 cup water with 1 1/2 cups sugar. Place over medium heat and bring just to a simmer, stirring to dissolve the sugar. Remove from the heat and let the syrup cool to room temperature. Transfer to a mason jar, cover and refrigerate until ready serving.
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