The Hybrid is the one I have. Currently is the only one they make for the US that will receive OTA (over-the-air) digital TV.
Then your cabling depends on what you want to do. If you've looked at the Hybrid, at the end of it you will connect a coax cable (the round one the cable company uses to bring their signal to your TV (or cable box). This could be either from an external antenna for OTA or from your cable box. If you connect your cable box, you would do the same as you do with your TV, set it to channel ? (3 probably) and continue to use the remote for the cable box. This connection will be the best picture wise.
My connections are:
Rooftop antenna via coax connected for OTA HDTV
The breakout cable that comes with the Hybrid connected to my satellite via s-video for the picture and RCA for the audio.
The s-video actually will give a fairly decent picture, not component quality, but pretty good.
Check back in a week or 2, have been primary one answering these questions it seems like, so I will make a more detailed post (with pictures for cabling) on connecting the EyeTV with OTA, cable, satellite, DVD, VCR and Xbox 360. Just do a search for EyeTV, will probably call it "EyeTV connections" or something like that.