Boil the eggs in a pot of water for about 10-12 minutes.
Remove the eggs and place them in cold water to cool.
Peel the cooled eggs and chop them into small pieces.
In a mixing bowl, combine the chopped eggs with mayonnaise and mustard.
Add the chopped dill, celery, and red bell pepper.
Season the mixture with salt and pepper to taste.
Gently stir to combine all ingredients without mashing the eggs.
Chill the egg salad in the refrigerator for 30 minutes for best flavor.
Serve on bread, crackers, or a salad bed.