Prep the chicken: If using rotisserie, remove skin and bones.
Shred or chop the meat into small, bite-size pieces. Smaller pieces blend better with the dressing.
Make the dressing: In a large bowl, whisk together mayonnaise, Greek yogurt, Dijon, lemon juice, lemon zest, everything bagel seasoning, garlic powder, onion powder, salt, and pepper. Taste and adjust acidity or salt as needed.
Add the crunch: Stir in celery, red onion or scallions, dill, and capers if using.
Mix until evenly distributed.
Fold in the chicken: Add the chicken to the bowl and gently fold until coated. If the salad looks dry, add 1–2 tablespoons more mayo or yogurt.
Finish with texture: Sprinkle in toasted sesame seeds (if using) and give the salad a final stir. Top with a pinch of everything bagel seasoning.
Rest and serve: Let it chill for 20–30 minutes so the flavors meld.
Serve in lettuce cups, with sliced cucumbers, in a low-carb tortilla, or over mixed greens.