Add eggs, mayonnaise, mustard, cream cheese, and relish to a food processor and pulse until mixture starts to look smooth, pausing to scrape sides of bowl with spatula, as necessary.
12 hard-boiled eggs, ½ cup mayonnaise, 2 tablespoons mustard, 4 ounces cream cheese, 3 tablespoons pickle relish
Add hot sauce, salt, and pepper to mixture, to taste, then continue processing until smooth and uniform. Taste test and adjust flavor, if needed.
hot sauce, sea salt, black pepper
Convey dip into a serving bowl. Cover with plastic wrap and chill if not serving immediately.
Sprinkle cayenne pepper and paprika over top of dip when ready to serve. Slice Chive into small pieces and sprinkle over to garnish.
cayenne pepper, smoked paprika, 1 blade chive