Goody,
You're correct that any polarizer is adjusted by spinning the element. The issues with a circular polarizer, vis-a-vis a linear polarizer are, as I said, issues involving whether the front element of the camera lens rotates as it autofocuses. With such a camera/lens combo, you could set the polarizer, but if you reframed the shot to focus on something closer or farther away, you would change the polarizer setting if you were using a linear polarizer. Circular polarizers get around this limitation by having several polarization layers, some which behave linearly, and others which negate the effect of a rating lens element. Because they have multiple polarizing elements, circular polarizers are more expensive, hence the reason I suggested getting a linear polarizer if they would work.
As for the $20 Best Buy filter...it probably works just fine. As I said, my filters are more expensive, but they're probably larger filters covering more area, and I'm selling shots, so I want a reasonably good filter. I personally wouldn't use a Best Buy filter any more than I'd put used oil in my car, but the odds are that they're adequate.