First, boil the eggs. Place eggs in a medium pot. Add cold water over the eggs to cover them by about 2 inches.
Bring the eggs up to a boil on the stovetop over medium-high to high heat. Once you reach a boil, turn off the heat and place a lid on the pot. After 10 minutes, remove the eggs from the pot with a spider or strain them in a colander. Place them in an ice bath to stop the cooking.
Once they have cooled enough to handle, peel the eggs.
Slice the eggs in half lengthwise.
Carefully remove the yolks from each hard-boiled egg and place in a bowl.
Continue this process with all of the remaining egg halves.
Add the mayo, vinegar, Tabasco, salt and pepper to the bowl with the egg yolks.
Mash the egg yolks with a fork, mixing in the other ingredients until you have a well-combined mixture without any large lumps. Taste for seasoning and add more salt if needed.
Use a piping bag, a plastic bag with one of the corners edges, or a spoon to add the egg yolk mixture back into the egg white halves. Sprinkle with snipped chives and a fine dusting of paprika. Serve.