The 12-Minute Boil: Place the eggs in a single layer in a large pot and cover with 1 inch of cold water. Bring to a rolling boil over high heat. Once boiling, turn off the heat, cover the pot, and let them sit for exactly 12 minutes. (Crucial Step: Do not overcook, or you'll get that gross gray-green ring!)
The Ice Bath Hack: While the eggs sit, prepare a large bowl filled with cold water and ice cubes. Immediately transfer the hot eggs to the ice bath and let them chill for 10 minutes. (This shrinks the egg from the shell, making peeling completely effortless without ripping the whites.)
Peel and Halve: Peel the eggs under cold running water. Slice them in half lengthwise and gently pop the yolks into a medium bowl. Place the empty whites on your serving platter.
Mash the Yolks: Mash the yolks completely with a fork until they resemble fine crumbs and no large lumps remain
The Secret Filling: Add the mayonnaise, sour cream, softened butter, Dijon mustard, vinegar, salt, and pepper to the yolks. Mix vigorously until the filling is ultra-smooth, light, and creamy.
Pipe like a Pro: Transfer the creamy filling into a Ziploc bag, snip off one bottom corner with scissors, and pipe the mixture beautifully into the egg white halves.
Garnish and Serve: Lightly dust each egg with smoked paprika and top with fresh chives. Serve immediately or cover and refrigerate!