Fill a large pot halfway with water and bring to a boil. Gently lower the eggs in and boil for 11 minutes.
While the eggs cook, prepare an ice bath (a large bowl filled with ice and cold water).
When the 11 minutes are up, immediately transfer the eggs to the ice bath. Let them cool for 10 minutes.
While the eggs cool, combine the celery, mayonnaise, mustard, drained dill relish, fresh dill, parsley, garlic, salt, pepper, and vinegar in a large bowl. Stir until well combined. Set aside.
Peel the cooled eggs. Slice each egg in half lengthwise.
Scoop the yolks out with a small spoon and add them to the filling bowl. Mash the yolks with the back of a fork and stir until the filling is smooth and creamy.
Spoon the filling into a zip-top bag. Snip a small hole in one corner. Pipe the filling into each egg white cavity until evenly filled.
Garnish with paprika and fresh dill sprigs. Serve immediately or cover and refrigerate until ready to serve.