Cut potatoes into quarters and place in a large stockpot filled with cold water 1 inch above potatoes.
Bring water to a boil over high heat, add 1 tablespoon salt, and cook potatoes for 13-15 minutes until fork tender.
Meanwhile, mix mayonnaise, sweet pickle relish with juices, mustard, apple cider vinegar, celery seeds, paprika, 1 teaspoon salt, and pepper in a medium bowl until smooth.
Chop hard boiled eggs, celery, onion, and dill.
Drain potatoes, remove any loose skins, and chop into 1/2-inch chunks; soft and crumbly is acceptable.
Place potatoes in a large bowl and gently toss with dressing to coat evenly.
Fold in chopped eggs, celery, onions, and fresh dill.
Adjust salt and pepper to taste, garnish with fresh dill and paprika.
Cover and refrigerate for at least 4 hours; flavors improve if made a day ahead.
Store in an airtight container in the refrigerator for up to one week.