Working with cold, hard-boiled eggs. Slice the eggs in half (lengthwise), remove the yolks, and place them in a medium mixing bowl. Place the hallowed egg whites on the serving platter.
Add the mayonnaise, mustard, vinegar, salt, and pepper to the bowl with the egg yolks. Use a fork or pastry blender to work the ingredients together, mashing the yolks in the process until everything is well combined. (I prefer the pastry blender as it makes quick work of the process)
Add the filling to the hollow of each egg. You can either spoon it in or transfer the mixture to a piping bag and pipe it in with a round or star tip for added decoration.
Decorate with red bell pepper and chives for garnish.
Serve immediately or refrigerate until ready to serve.