nF3-400 probably means the nVidia nForce 3-400 chipset.

As for AGP 8x, it's said it's not really a major benefit over AGP 4x in the 
real world (few apps call for the performance).

There are now a lot of (reasonably inexpensive) cards out there with VGA and 
DVI outs, which can work together, and often with a TV out.  Video in's rarer, 
but a $39 TV card offers easier support for it anyway).

Frankly, I'd think any inexpensve card with VGA and DVI connectors (a DVI to 
VGA's usually in the box), will do fine.  The Geforce 4 MX series, a FX 5200 
or 5600, or an ATi 9200 or 9250 or 9600, will probably offer decent bang.  
Cheap, often available with the extra head abilities

Pick on price, compatiblity record.  I'd reccomend a non fan model.  (the fan 
goes noisy and wears)

AFAICT, the only cards not compatible with an AGP 8x board would be extremely 
early 1x and possibly 2x cards; the voltage dropped for 4x and again for 8x 
(I think 8x slots will offer the 4x voltage)