Also with the veet there is an amount of time you have to wait before you do it again. Because it is a chemical like Nair it makes your skin VERY sensitive to it and other chemicals like it, if you don't wait like a week I think it is, you can still get SERIOUS! chemical burns even if you follow the directions.
Never use nair for coarse hair, because even if you follow the directions it rarely gets all the hair, and if you leave it on the maximum that you're allowed to, you run the risk of getting a chemical burn on the last part you get too.
If you don't want to be a bear before your time, I wouldn't suggest the razor, just because when you shave it comes back darker and more coarse.
I'd say go get professional waxed, it may be embarrassing, but it's harder to do it at home. And after a few visits the embarrassingness will wear off