This article tells about 4 different types of cooking styles to get that perfect barbecue chicken:

• SMOKE – as low as one can on a constant temperature for long hours till the meat is totally tender and smoked to perfection!
• BAKE – using meat baking apparatus (oven)
• BRAISING – cooking at both moist and dry heat also known as pot roasting
• GRILLING – a favorite technique to barbecue chicken amongst many. Barbecue chicken (grill) directly over dry heat

Smoking is usually done with wood or charcoal. However, barbecue chicken smokers, propane smokers are also available mostly for commercial use.