I think it sounds like a dangerous thing to do...abrasive chemical products on your face...alone at home...if something goes worng, you don't know what to do...The money you'll save isn't worth it...so
Go see a professional
It's nothing to do with vain, it's do with getting things done properly and safely, in as little time as possible.
Also, by the way, I have seen several photos of you and you are beautiful...you really don't need a facial peel at all...seriously.