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Hard-boil eggs: place eggs in a single layer, cover with cold water, bring to a boil, then remove from heat and cover for 10–12 minutes.
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Cool eggs quickly in an ice bath for 5 minutes to stop cooking and make peeling easier.
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Peel and chop eggs: quarter eggs, then chop to a mix of small and slightly larger pieces for good texture.
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Mix dressing: combine mayonnaise, Dijon, lemon juice (if using), and salt and pepper in a bowl.
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Fold eggs, celery, and chives into the dressing gently to keep some egg pieces intact. Taste and adjust seasoning—add more salt, pepper, or lemon if needed.
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Chill the egg salad for 10–15 minutes to let flavors meld. This also firms the mixture for easier spreading.
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Work gently so the salad stays chunky rather than mushy. Keep utensils and bowls cool to avoid warming the mayo.