Distilled water has many great uses, but drinking is not really one of them. This is because it is void of any natural salts and minerals - which makes it great for steam cleaners and radiators, but bad for IV bags and drinking. If you try drinking it you'll notice it has an odd flavor and doesn't really quench your thirst. Stick to water designated for drinking, or better yet, drink filtered tap water.
Jthomp42 is correct in that most bottled water companies have been making false claims. Studies have shown that bottled water is no better for you than tap water and in many cases could actually be worse for you. There are a lot of reasons for this but one is that municipal tap water is more highly regulated than bottled water is.