Place eggs in a medium saucepan and cover with cold water by 1 inch (2.5 cm). Bring to a rolling boil over medium-high heat.
Once boiling, immediately remove from heat, cover with lid, and let stand for exactly 12 minutes for perfectly set yolks.
Prepare an ice bath in a large bowl. Transfer eggs to ice bath using a slotted spoon and let cool for 5 minutes to stop cooking process.
Gently tap eggs all over and peel under cool running water, starting from the larger end where the air pocket is located.
Cut eggs in half lengthwise using a sharp knife. Remove yolks and place in a fine-mesh sieve set over a bowl.
Press yolks through sieve using the back of a spoon to create a smooth, lump-free texture. This ensures silky filling.
Add mayonnaise, Dijon mustard, apple cider vinegar, salt, white pepper, and fresh chives to the sieved yolks. Mix until completely smooth and creamy.
Taste and adjust seasoning as needed. The filling should be creamy, tangy, and well-balanced.
Transfer filling to a piping bag fitted with a star tip. Alternatively, use a small spoon to fill egg white halves.
Pipe or spoon filling generously into each egg white half, creating an attractive mound above the rim.
Arrange filled eggs on serving platter. Dust lightly with paprika and garnish with additional fresh chives.
Refrigerate for at least 30 minutes before serving to allow flavors to meld and filling to set.