In large urban areas it is not usually a safe decision to discharge a firearm. Always check with your local municipality about what the bylaws are for your area and make a safe and good decision. Shooting one pigeon usually will not solve a pigeon problem. Because of the high reproduction rates of pigeons and the high number of pigeons in general, shooting and/or the use of live traps will not bring the pigeon population to zero. At best you can hope to reduce the population for the short to mid term. The best strategy is to use physical products to stop pigeons from returning to any given area.