Shred the cooked chicken.
Combine the cooked shredded chicken, chopped apple, chopped celery, chopped green onion, and sliced red grapes.
Mix everything together in a large bowl.
Grab a small mixing bowl, and combine the mayo or Miracle Whip with the dill weed, salt, and pepper until thoroughly mixed.
Scoop the "dressing" over the chicken mixture. Stir well. Serve on a bed of lettuce or in a roll/croissant.