Place eggs in a medium sauce pan and fill with cold water until eggs are just covered.
Sprinkle in table salt and turn heat to high. Note: Fine table salt helps the eggs stay in tact during the boiling process.
Once the water comes to a boil, cook for 3 minutes.
Remove from heat and cover with lid. Let stand for 10 minutes.
Drain and fill pan with cold water and a generous amount of ice. Let sit for 5 minutes. Don't skip this step. The egg shells will slide right off during the peeling process.
Crack, peel and rinse eggs.
Cut eggs in half lengthwise with a pairing knife.
Scoop yolk into food processor or small bowl.
Add in mayo, mustard, 1 Tb of chives, and a light sprinkle of salt and pepper.
If using food processor, pulse several times until smooth, or mash with potato masher or fork until smooth.
Transfer yolk mixture to a small sandwich size zip-lock bag and seal air tight. Cut a small slit off the end corner and pipe into each egg half. Top with remaining chives if desired. Chill until ready to eat.