Bring a large pot of water to a boil and gently add the eggs. Set a timer for 8 minutes. While the eggs are boiling, prepare a large ice water bath in a large bowl.
Remove from boiling water and set eggs in a water bath for 5 min. Add Greek yogurt, mayo, mustards, vinegar, salt, pepper, paprika, and hot sauce to a bowl.
Peel the eggs and chop the eggs into small pieces. Add the eggs to the sauce and mix until combined.
Cover and refrigerate for at least 30 minutes. Once chilled, serve ad desired on a sandwich, on toast, etc.