Remove meat from chicken, both white and dark, remove skin also.
2
Cut chicken into 2" or 3" pieces and shred by hand until it reaches the desired consistency. You can also, if you like, use a stand mixer (like a Kitchenaid) to shred the chicken - to do this, separate the chicken by hand into largish chunks, then beat these chunks using the paddle attachment at medium speed until your chicken is shredded.
3
Transfer the shredded chicken into a bowl. Mix the mayonnaise into the chicken until the shreds are evenly coated.
4
Stir the chopped celery and onion into the chicken mixture. Season it with the brown sugar, garlic powder, and salt and pepper to taste.