Serve your coquito with a cinnamon stick in each glass for more flavor and for garnish. If you want to serve a non-alcoholic version, then omit the rum and add rum or brandy extract to taste. Replace the rum with whole milk to cut the coconut taste if desired.
Serve coquito on the rocks, it is best when served cold. If the mixture is too thick after chilling, blend it again until it is pourable.