Mix the vinegar, oil, water, and spices with your barbecue sauce. Taste the mixture and adjust it as necessary. Omit the dark brown sugar if don’t want the extra sweetness in your finished BBQ chicken.
Coat the chicken breasts or thighs with a little salt and pepper. Leave them whole. Place a little sauce in the crock pot, then add the meat. Try to keep everything in one layer. Add the rest of the sauce to cover, including up to another 1/4th cup of water if necessary.
Cook for 3 to 4 hours on high. If preferred, shred the meat about 30 minutes before the cooking time is complete. Keep warm on low while serving.