The difference in fins usually boils down to personal preference. I know some surfers who insist that different fins hardly make a difference whatsoever... Personally, I think it CAN make a very big difference, but not always.
With a twin fish for instance, I notice a HUGE difference when I change fins. A small set of fins on a small board with a wide tail will be very, very loose feeling- and tightens up as you add size.
...But on a typical 5'10ish shortboard, I sometimes won't get much of a different feeling going from stock fins to GX-Qs for instance. (Although I really like the smaller GX-Qs as trailers for a small quad board.)
If your mini driver has a 5 fin configuration, you have the luxury of a little experimentation. In general, quad is looser and a bit faster than the thruster set up, which usually offers noticeably more hold. You'll never know which feels better for you on a particular surfboard until you try it out for yourself...
As a general rule of thumb, if you feel like you've got plenty of hold in your surfing (or too much) and wouldn't mind loosening your grip (which in return will give you some extra speed), you can switch to a quad. OR you can try smaller fins or rounder fins with less rake, which will have a similar effect. The same applies vice versa.
On your 6'0, which is a pretty traditional shortboard shape with a little extra volume, I'd assume a stiffish quad setup would feel best. (Or stiff fronts with flexible trailers.)
Sorry if this post is too general, but since you didn't say what fin system you have, whether you run a quad or tri setup, or what you're looking to get out of your surfing- it's hard to make specific recommendations.