The "Flying Saucer" design you cite is most likely a Winegard Roadstar, it's junk, omin-directional and very low gain. That said Radio Shack sells one that is both Directional and has some gain,, It is sold as an HDTV antenna.
Recently one of the forum members did a side by side of the JACK and the WInegard "Batwing" both with and without Wingman. I do adimt to being slightly surprised.. I always knew the batwing was better,, Just not how much better.
My proference (Which is letting me watch TV as I type)
Batwing + Wingman + Sensar pro. Very effective (Where I'm parked I set the Pro at a gain of "20" and it brings in a whole bunch of stations that would not be there otherwise).