I am not getting any connection to your TV Fool report. As for information on a converter for the older TV, there is a entire section here on the forum titled CSEB. Some are still available new and many now show up on Craigslist, etc.
The tuner for a PVR would indeed be connected just as an extra TV. I have struggled to record OTA HD from the beginning and tried several products. Again there is a section of our forum devoted to this subject. I finally have settled on the original Tivo "HD" model. It requires a monthly fee or large upfront "lifetime" activation fee but as you will read, the lesser know recorders all seem to have many bugs and shortcomings. Beware of the fact that the Tivo Premiere model is known to have a less robust tuner for OTA than the older "HD" model (I have a Premiere in the closet as proof) and the Tivo 4 is only for cable TV. I do not know much about PC solutions for recording OTA in HD, but have read several expressions that one must be willing to make it somewhat of a hobby. The subject in that section quickly gets over my head, but I am certainly no computer expert.
Recheck your TV Fool link and I am sure you will get some antenna recommendations.