Once inside, stink bugs don't eat anything, and they don't bite. They'll invade dresser drawers, park themselves on drapes, or find a comfortable spot on a toothbrush, but apart from bedding down in annoying places, and a little foolhardy buzzing when they can't remember their way out, stink bugs are perfect guests. Well, there is the smell...but you'd stink too if someone squished you.
Caulk is the answer. If you have an all-out stinkbug invasion, a professional energy audit will help locate every little crack and cranny. But not now—wait until summer. By then, assuming they've escaped detection, the bugs will have marched outdoors through the same cracks that gained them entrance, and they'll be happily mating, laying eggs, and nibbling on garden plants.
Try making a stink bug trap like this one by a New Jersey man.