Shooting: Feral pigeons are not protected by state or federal laws or regulations. Local municipal ordinances should be consulted prior to any control effort that will involve the discharge of firearms.

Trapping: Pigeons may be live-trapped on buildings and other likely locations with permission of the property owner. A DEP permit is issued without fee for the purpose of removing birds which are damaging structures or have become a nuisance. Live-traps for pigeons are available commercially from major trap suppliers. Pre-baiting the traps with grains that the birds are accustomed to will increase success. A variety of baits, including cracked corn, millet, popcorn, sunflower seeds, peas, bread, and peanuts can be used. Water should be available in the trap at all times. Trapping in any given area is usually slow, labor intensive, and only a temporary reduction measure.

So they can be used for dog training, even shot. You just need a permit to catch them.

Skip, is this correct?