Use google to undestand about HDTV. I'm not sure if really have a good understanding of HDTV and the capability of the "32 inch " TV you are getting.
My display is a 70inch HDTV and i use it as a PC with 1080P resolution. I watch Blue ray/ HD-DVD on it @1080P.
DVI to HDMI is my setup to link my video card to my TV...
HDTV resolutions are 1080P, 1080i & 720P. The type of inputs that can support it are HDMI(Digital Link) & Video-component(Analog Link).
Check what your 32 inch TV can do.