01 - Place eggs in a saucepan and cover with cold water. Bring to a boil over medium-high heat. Once boiling, cover, remove from heat, and let stand for 10 minutes.
02 - Drain and transfer eggs to a bowl of ice water to cool completely, about 5 minutes. Peel eggs carefully.
03 - Slice eggs in half lengthwise. Gently remove yolks and place them in a mixing bowl. Set whites aside on a platter.
04 - Mash yolks with a fork. Add mayonnaise, Dijon mustard, vinegar or lemon juice, and chopped chives. Mix until smooth. Season with salt and pepper to taste.
05 - Spoon or pipe the yolk mixture evenly into the egg white halves.
06 - Sprinkle deviled eggs with additional chives and smoked paprika for garnish. Serve chilled.