Hi. I was also diagnosed with H-Pylori this past summer. I never knew I had it until I went for an endoscopy for other issues. The gastro put me on PREVPAC - which is prevacid, biaxcin and amoxicillin - for about 2 weeks.
Funny thing is that I brought my chihuahua to the vet several months ago for itching and I mentioned how bad his breath was. The vet sniffed it and said it was like sewer breath (my words exactly) and that my dog had h-pylori.
I told him that it was quite a coincidence because I had h-pylori too. He then asked me how long my gastro put me on atibiotics - I said about 2 weeks - and he said it should be more like 3 months! Then he told me that EVERYBODY has h-pylori and he gave me a bottle of pills called MASTICA GUM (a form of pistachio tree from Greece - and the Greeks use it as a natural remedy for gastric upsets and h-pylori). Go figure that!
Needless to say - my dog had the full 3 month course and his bad breath went away. I personally don't feel any different since my treatment, but I suppose it's better NOT to have h-pylori due to the link between that and ulcers.
Good luck!