I've done the air in the tank trick a couple of times and never had a problem with it, but you have to be very very careful not to blow too much in - and it doesn't take much. I did blow the bottom out of a Honda Rebel tank doing it once, but a couple of good bangs with a hammer down inside the tunnel beat it back to where it was supposed to be.
You can't use the air trick on many dents, for instance of one has a crease or covers an area with two perpendicular curve lines. However from the sound of the original post these dent's aren't real deep. There's a better way than air to do most of them. What body shops do is weld studs onto the dented surface and then pull the dent(s) out with them. Once the dent is pulled you just hit the studs with a grinder and clean them right off - nothing to it. Problem is you probably don't have a stud-welder. So take the tank down to the local body shop and ask them to stick a couple of studs on it for you. They shouldn't charge you more than a couple of bucks a stud. Oh, and just like you have to take it easy with the air if you try it, you also have to take it easy on pulling the dent out with the studs. Start on the outside and work your way around and toward the center - remember in all body work tap, tap, tap, tap, tap not BANG! BANG! BANG!