Now I guess you could run it to an amplifier and then to the coax you have already but no one will tell you how good it may work.
I'm planning on cutting the cable but I'm skeptical on the performance/reception of OTA signals using the indoor antennas such as the one that is advertised on CNET. I need to connect three tvs so maybe Whole House might be the better way. Not interested in installing a masted antenna but a small outdoor model mounted to the outside of the house would be okay.

Chowhound
Comic Vine
GameFAQs
GameSpot
Giant Bomb
TechRepublic