Prepare the Potatoes:
Peel and cube the potatoes.
Place them in a large pot and cover with about 1 inch of water.
Bring to a boil, add 1-2 teaspoons of Kosher salt, and cook for about 10 minutes until the potatoes are fork-tender.
Mix the Dressing:
In a large bowl, combine the mayonnaise, yellow mustard, dill pickle relish, minced onion, Kosher pickle juice, Kosher salt, and ground black pepper. Set aside.
Combine Salad Ingredients:
Drain the hot potatoes well, then add them to the bowl with the dressing.
Gently fold in the chopped hard-boiled eggs until everything is evenly coated.
Chill and Serve:
Allow the potato salad to cool completely.
Transfer to an airtight container and refrigerate for at least 4 hours before serving.
Just before serving, garnish with a sprinkle of paprika and minced chives or green onions, if desired.