Make green goddess dressing: Place chives, mayonnaise, tarragon, and yogurt in a blender along with zest and juice of the lemon, oil, salt, and pepper to taste. Purée until smooth.
Spread the dressing evenly onto each tortilla.
Layer the wrap with lettuce, cucumbers, mozzarella, sprouts, and avocado. Season with salt and pepper. Fold in the ends and roll up tight.
Combine the ingredients for the homemade lemonade. Add ice if desired.
Serve: Cut the wrap in half. Enjoy with chips and lemonade.