Cut the 6 eggs in half, removing the yolks and setting the whites aside.
Using a grate or fork, mash the egg yolks in a small bowl until smooth. Set aside.
In the bowl of a stand mixer fitted with a paddle attachment or a mixing bowl using an electric mixer, beat the softened ½ cup cream cheese until smooth. Stir in the 1 cup mayonnaise until blended, then the mashed egg yolks.
Stir in the 2 teaspoons white vinegar, 2 teaspoons Dijon mustard, 1/2 teaspoon ground white pepper, 1/2 teaspoon Kosher salt, 1/2 teaspoon smoked paprika and 1/2 teaspoon garlic powder.
Finely chop the egg whites into small pieces. By hand, fold in the minced 2 tablespoons cornichons and chopped egg whites.
Top with additional smoked paprika or snipped 1 tablespoon chives, if desired.
Cover and chill until ready to serve. Serve with crudité, crackers or crostini.
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Notes
Storage: Store deviled egg dip in an airtight container in the refrigerator for up to 3 days. Because it contains eggs, cream cheese, and mayonnaise, it should not sit at room temperature for more than 2 hours.Freezing: Freezing is not recommended. The cream cheese and mayonnaise can separate after thawing, and the chopped egg whites can become watery and unpleasant in texture. This is a dip that is best made fresh or made a day ahead and refrigerated.