This is interesting ... you need a USB tuner stick.
You should be okay with a lower-end Core2, but it might get interesting with your CPU utilization and hardware acceleration. Not sure what internal graphics you have -- without DVXA hardware acceleration your CPU will have to work exponentially more harder in decoding.
Also ... a USB tuner tends to be less of an issue with updated drivers and a fully-patched OS, so be sure to take care of that. Follow the instructions, and WinTV can still ruin your day --- requiring removal and reinstall.