Prep Work: Cut any extra fat off thighs. Scrub and cut potatoes in quarters, then into 1/4" thick pieces. Cut celery 1/2" pieces.
Place chicken in pot, sprinkle all over lightly with salt and pepper, then cover with bar-b-que sauce.
Add celery, onion and potatoes to pot on top.
Cook on low 4-6 hours. When done cut larger chicken pieces in half with spoon or spatula while in the pot and mix with potatoes. Now set aside 1/3 of the chicken and potatoes for Cheesy Chicken Potato Soup tomorrow night!
Ten minutes before eating, place broccoli in pot with 1/2" water and two peeled and cut garlic cloves. Steam on medium-low heat until broccoli is tender and bright green, approx. 5-7 min. Sprinkle with a little salt, balsamic vinegar or parmesan cheese and serve alongside chicken and potatoes.
VARIATION: This is also yummy replacing the bar-b-que sauce with prepared teriyaki sauce. Or make some quinoa seasoned with olive oil, lemon pepper and salt to serve on the side with the broccoli. (pictured)