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.
TiVo HD 1TB (157 HD Hrs, PLS, "S3HD")
Roamio, Oh Roamio!
The TiVo Apocalypse begins on Sat 2013 Feb 16 00:00 GMT!