I don't have facial hair like that but I've dealt with removing hair from other areas... Mainly a bunch of coarse, dark hair growing around my belly button, yuk! (I was trying to get a smooth, hairless tummy for my honeymoon a while back so I tried several things!)
Waxing is nice because it will leave you smooth and hair-free for 4-6 weeks, however you have to let the hair grow to 3/8" long (which takes about 3 weeks for the average person) before you can wax it. Hair too short won't stick to the wax very well, and longer hair pulls and hurts! I recommend Sally Hansen Sugar Wax -- you just use it at room temperature straight from the bottle, and I think it hurts less than the hot waxes you microwave!
Bleaching is another option if your hair is not super long. (Even if it's blonde, you may not want really long hair on your face!) It may take a few applications to get it light enough though, but after that maintenance isn't bad! I tried bleaching my gross hair and it did get very light after 2-3 applications, however when it got to be about an inch long that was just too gross for me!
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Another option is hair-removal creams like Nair. (I -- and a lot of other girls, from I read -- are allergic to Nair, so I used Veet brand.) Supposedly it's supposed to make your hair grow back finer after repeated use, however I didn't notice a difference after a month or two. And it didn't do any better job of removing hair than shaving, I had to do it every day to prevent stubble. But, it's an option if nothing else sounds good to you!
There are also at-home electrolysis kits, though I have no idea what they cost or where you can buy one. My mom has one at home, it sends an electric current through a pair of tweezers, and you hold the tweezers to the hair for 20 seconds then pull it out. You may also have to pull the hairs a few times before they quit coming back. I tried it on a few hairs, but I thought it hurt so I quit! (But regular tweezing hurt there too, so if you can tweeze your face then you can handle the electrolysis!) Now I kind of wish I would have kept it up though, so I wouldn't have to mess with waxing or bleaching now!
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Hope that helps!