Within the city, I would definitely not recommend shooting them in the open with a firearm. Live trap them, and either take them somewhere and turn'em loose (like some other area is in need of more racoons, invest in some welding gloves!) or take them into a garage or similar building and pop them in the head with a .22. Personally, I kinda like racoons and wouldn't bother them unless they were creating a problem. We have a small dog that likes to bark a lot, and I keep hoping he'll get eatin by some wild critter. I'm thinking about smearing him with bacon grease in hopes a coyote will wander by for a snack. Tractor Supply has lives traps.
Give us yer address. is full of wild critters that crave bacon. Oh, yeah, put out a six pack. Problem solved.
p.s. Unintended consequences - You may have exchanged your dog/raccoon problem for a wild 'er problem.