If you are shooting a shotgun that has been manufactured in the last 20 years and having extraction problems, you almost certainly have an ammunition issue - not a chamber problem. The exception might be a poorly maintained gun that has obvious rust and pitting in the chamber. Try changing ammo brands before you decide to take at your barrel with power tools!
Remember that extraction (the removal of the spent cartridge from the chamber) and ejection (the tossing of the spent cartiridge out of the firearm) are two separate but related processes. There are lots of things that will cause ejection problems that have nothing to do with the chamber. Not shouldering the stock correctly with an autoloader is a common example...
If you must give chamber polishing a try, wander over to Brownells.com where you will find the relevant tools and also instruction books or videos on all sorts of gunsmithing projects.