Boil the potatoes without peeling. Usually takes about 30 minutes. They're done when a knife goes in and out without sticking.

Let the potatoes cool a bit. Peel and cube them.

In a large bowl, sprinkle the potatoes with the seasonings and vinegar.

Add onion, chopped egg whites, chopped pickles, and celery (if you prefer celery).

Mix the egg yolks with mayonnaise and mustard.

Toss the mayonnaise mixture with the potatoes.

Chill well before serving.