Place pork and 1 cup water in a 3- to 4-quart electric slow cooker. Cover and cook on LOW for 7 hours or until meat is tender.
Drain pork, discarding cooking liquid. Return pork to slow cooker; shred with 2 forks. Stir in barbecue sauce and next 3 ingredients (through pepper). Cover and cook on LOW for 1 hour.
Combine coleslaw and next 4 ingredients (through salt) in a bowl; toss well.
Place about 1/3 cup pork mixture and about 2 tablespoons slaw on bottom half of each bun; cover with bun tops.
Quick Tip: Using packaged cabbage-and-carrot coleslaw shaves time off the prep. Long gone are the days when you'd have to shred your own.