Dissolve the salt in the water. Soak the chicken in the brine mixture for an hour or two. Drain and rinse the chicken pieces, pat dry, then sprinkle with black pepper to taste.
Mix together the garlic, oil and lemon juice in a small bowl.
Preheat your grill and place the chicken skin side down when it's hot. Cook 15-20 minutes, turning at least once. Turn the grill down to medium low.
Take the chicken pieces off the grill and dunk them in the garlic/oil/lemon juice mixture one by one, returning them to the grill after their dunking.
Cook until done, basting periodically with an extra sauce.