Leg quarters are easy to grill, at least on a charcoal grill. Hopefully you have a really big grill or you will be doing it in batches. My grill will hold about 15-17 lbs at a time, which equates to about 18-20 leg quarters. I wash and trim up the leg quarters the night before (remove some of the excess fat) then cover them liberally with bbq rub. Put them in a pan, cover and refrigerate overnight. Before cooking, I like to set them out for a bit so I'm not putting freezing cold meat on the grill. I keep the coals about 12" from the chicken, single layer of coals and use a some slivers of mesquite. Normally speaking, it takes me 45 min to 1 hr to cook a batch. I try not to get the fire too hot as I don't want a burnt up, dried out chicken. The fire will start out a bit hotter but as the coals burn down, the chicken will cook nice and slow. We do leg qtrs at many family get togethers even if we have other items on the other smoker like brisket/ribs, etc. They are cheap (can usually get 10 lb bags for .49 per pound and sometimes as low as .39 per pound) and it's hard to mess them up unless you get a nasty grease fire going which can happen if you have too much heat in the grill.