DO-AHEAD TIP: Marinate chicken overnight or for at least 8 hours (see recipe).
In a large zipper-topped plastic bag, combine all ingredients except chicken; gently smoosh around to blend flavors.
Add chicken, seal bag and turn to coat; refrigerate overnight or for at least 8 hours.
Preheat outdoor grill or indoor grill or oven broiler. Remove chicken from marinade, discarding marinade and bag.
Grill/broil chicken till juices run clear.