Step 1In a medium bowl, combine the shrimp, cucumber, onion, minced cilantro, lemon and lime juices, horseradish, ketchup, Tabasco and pepper and salt. Toss to mix thoroughly. Refrigerate for at least 30 minutes.
Step 2Divide the mixture into four chilled martini glasses. Cut a notch on each slice of lime and put one on the edge of each glass. Garnish each martini with 2 cilantro sprigs and a fan of 3 avocado slices. Place each glass on a salad plate with a couple of lemon wedges and some tortilla chips. Serve with additional tortilla chips for scooping.