How to Make a Chi-Chi - part of the Exotic Cocktails Series by GeoBeats. How to Make a Chi-Chi - Exotic Cocktails Hi, my name is Samantha, and I am a bartender at Cinema Paradiso, home of the world famous Fort Lauderdale International Film Festival. Right now we're going to make a Chi-Chi, originated in a Spanish-Caribbean Islands. Watch out because these can sneak up on you. First start out with some vodka, or you can use rum because they are lot like a Pina Colada without the blender. Begin with your shaker with some ice, pour in some vodka, coconut cream; my favorite. Some pineapple juice. Shake it up really good so it's nice and creamy. Get your strainer, pour it right into a wine goblet. Mmmm mmmm. And garnish with some cherries. Here you are. Chi-Chi!!