Hmm...I think you should see a periodontist. They are dentists with extra years of training; they are experts in periodontal disease, so they know all about "pockets." A 10mm pocket is pretty bad...but I think it would be worth your time to see a good periodontist, and find out what they think. There is a treatment called root scaling and planning, which involves a VERY thorough cleaning of your gums, all the way to the roots of the teeth. A local anesthetic is used (just like you get when you are having a filling)...As I said, it's not a regular cleaning, so without the anesthetic, you will be in pain. Again, not sure if this is an option with 10mm pockets, but no matter what, I would go see a periodontist before you start doing extractions and implants.
Good luck!