Homemade cocktail sauce has a fresher flavor than the bottled stuff, and you can flavor it to suit yourself. I lean toward an abundance of horseradish, but you can follow your own whim.
1 cup ketchup or chili sauce
1/4 teaspoon garlic powder
1/2 teaspoon Worcestershire sauce
Dash of hot pepper sauce, or to taste
2 heaping tablespoons prepared horseradish
2 teaspoons fresh lemon juice
In a small bowl, stir all ingredients together until well combined. Cover and refrigerate at least 1 hour, until chilled. Stir before serving.