While some might want to skin me alive for saying this, video cards are overrated for what they do. A little over a month ago on New Year's I put in a graphics card on my ancient setup (even more ancient than yours, mine's almost 9 years old), and aside from a couple of really
noticeable perks*, it's not changed much. Onboard video for much newer motherboards/CPUs are going to be more than capable of handling basic or even intermediate video tasks. It's heavy-spec gaming
(or hardware-accelerated H.264 decoding for 1080p) where a graphics card will come in handy. Or if you're expecting to do editing at 4K.
*it supports 32-bit depth (before I was limited to 24-bit, and would have to hop down to 16-bit to play some of my games/emulators) and I can play pretty much all of the Touhou games at full speed now, whereas I could either not run them or do so at subpar fps'es before.
If you're wondering about the way the camera would interoperate with it, most camcorders should have either USB or FireWire ports, and do transfers through those, so the video card would be irrelevant.
For an economy-priced model, I think I calculated that it's possible to build a basic setup for about $250-300 (but you'd need to supply your own HDD, optical drives, and copy of Windows) that would be fairly up-to-date.Intel BOXDG43GT LGA 775 motherboard, 86.99Pentium Dual-Core E5200 Wolfdale 2.5GHz 2MB L2 Cache, 65.99Kingston 4GB DDR2-800 Dual Channel Kit 2x2, 81.99
That comes to about $235. Throw in a Micro-ATX case (or use an existing one), and there you go. The above looks awfully tempting to me, except I would prefer going with a Core 2 Duo or Core 2 Quad because I've wanted a 'Core 2' branded processor for a long time, and getting slightly beefier RAM (an 8GB Dual Channel Kit of 2x4, considering the mobo can take a maximum of 16GBs). If push comes to shove, though, that Pentium would also probably give me more power than I'd know what to do with, so it would be worth buying.
If you go with an eMachines from Best Buy you can spend about $400 on a comparably-equipped model (because it does come with Windows, 750GB HDD, and DVD-RW drive):http://www.bestbuy.com/site/eMachines+- ... Id=9703523