C.K.
I wax at home using a product called "Moom". You can get it at co-ops, Whole Foods, and online. Over the years, I have tried Sally Hansen and other drugstore brands, and Moom is hands-down, the absolute best. For one thing, you don't have to heat it up, you can just use it cold right out of the jar. Also, the starter kit comes with some really thick cloth strips that you use again and again--I have been using mine for years. The paper strips that come in most other brands are a joke. Moom is all-natural--I have had bad skin reactions from the other brands.
Waxed hair grows back slowly and thinner and thinner each time. I have heard that years of waxing can make the hair disappear altogether, although this has not happened to me yet.
I would discourage bleaching. I tried this once, and it just "illuminated" my facial hair--not at all the look I was going for. ;-)