The proper license of a small game or Junior hunting (and up)must be in your possession, a trapping license doesnt allow you to hunt furbearers. You can hunt red and grey fox,coyote, bobcat, racoon, skunk, mink weasel and opossum. These are open to day or night hunting without bag limits. Bobcat must be tagged and sealed! Do trappers think hunting of furbearers is such a great idea? Not always, but it does offer interaction with a different type of predator management.
Electronic and motion callers are allowed in NYS. In combination with mouth calls of coyote, crow/raven, or any small game distress calls you are sure to see your share. The idea is to simulate a distressed animal within their food chain or other animals such as birds on carrion, attracting them to an open spot in range. Here is a link to a few guys who know a lot about hunting.