You will not get any better picture quality from a Series 2 since its analog and HDTV is digital and analog is only through the Y/W/R. With Series 3 and older, including Premiere, which has HDMI, they are digital capable. Series 3 can go up to 1080i resolution, and Premiere to 1080p.
Series 2 (PLS, sold)
TiVo HD 1TB (157 HD Hrs, PLS, "652")
Roamio! Oh, wait, Its Juliet!
OTA! OTA! OTA!
The TiVo Apocalypse begins on Sat 2013 Feb 16 00:00 GMT!