A real good bike fit is going to cost $200-300. I'm not talking about where they look at you on the bike and make adjustments based on what they see, i.e. the eyeball method. The Body Geometry fit is likely where they put sensors all over your body and aim a special camera at you that feeds all your biomechanical data to a computer that will give objective results. I've had fittings done both ways and have fund that the more sophisticated approach yields better results. My latest fitting was on a Retul system and took about three hours - and it cost $295. I can honestly say it was money well spent as the bike fits me like a glove now.

Now, to be fair, I'm a 5,000 mile/yr rider and spend many, many hours on the bike and thus a proper fit is exceptionally important. If you're a casual rider the eyeball method may be just fine.

Oh, and welcome to the club. Cycling is awesome!