They sell various versions of the machine. The one with flying clamps is $450ish. The minimum config with fixed clamps is about $600. $799 would be a fixed clamp one with the tension arm stop as well as turntable lock.
I picked a configuration without the turntable lock, saved a few bucks, around $750 for mine, don't remember exact number.
But I agree, tough choice between $450 with flying clamps, or $550 for revo with fixed clamps, or $600 for fixed clamps, but no tension jaw gizmo on LaserFibre. The lower configuration LF machines are incrementally uprgadeable to the higher configuration ones. But then the revo is upgradeable to a Wise electronic tension head, which the LF would not be. Well, the good news is you are picking between two winners, so you can't go wrong
In terms of either machine stringing "better" than your Klippermate, well I was upgrading from a Klippermate also, and I actually think if you do it right on the Klippermate, your string job will be just as good in the real world as with either of these machines. I just found the drop weight is now too aggravating on the Klippermate (where is in high school, I didn't mind it so much). And also, the mounting system on these machines should be better than the 2 point mounting system on the Klippermate, and reduce the chances for racquet damage. I've never fatally damaged a racquet on the Klippermate, although there has been some minor cosmetic damage. But that cosmetic damage was just as much due to Wilson's shoddy paint job as the Klippermate mounting system. On my LF, the sharp plastic actually damaged that shoddy paint job even more! On my new Maxplys, the LF mounting system has not done any damage, cosmetic or otherwise.