Make sure you're running the latest Windows or Linux.
Don't use the VGA connection - your picture will be garbage when compared to the DVI or HDMI !! svideo looks even worse.
You should ONLY use the digital inputs for LCD TVs. Why? You're going to get the best and most crisp picture from it. Less conversion between analog and digital will result in a perfect picture.
Also, make sure your video card can handle the RECOMMENDED resolution that is prescribed by your new TV (i.e. 1280 x 720-pixel native resolution). If your new video card cannot produce the required resolution you will be forced to watch it at a lower resolution and not at native resolution. Meaning: you bought a Porsche and only put in 87 octane fuel.
Your video card should also be compatible with your motherboard. Sounds common sense to me, but you'll see people forcing their motherboards to carry video cards that are not a good fit.
Look for outputs such as HDMI and DVI. Make sure you have at least one of these inputs (hopefully HDMI) on the back of your TV. Use HDMI first, then go to DVI if you need to. You'll pay more for the HDMI card, but it will be worth it and it looks like we are all going there any way. HDMI to DVI - DVI to HDMI converting cables are available, but I haven't used one yet.
Take the specs of your TV and bounce them against the specs of the card you are buying: resolution, refresh rate, outputs... match that and you should be fine.
******************* UPDATE: You would need a VGA to DVI conversion box (but why get into that?) Whenever you convert any signal you LOSE quality.
Using a VGA to DVI cable would only help you hook it up, NOT get around the fact that it is still using ANALOG. Here's how it works: your compy is working in the digital realm. It sends a digital signal to your video card just to have it CONVERT it to analog, then send it out the VGA connector to the vga-to-DVI box where it is CONVERTED again (more loss of quality) then on to your TV. You will have to convert the signal TWICE before you see it.
Buy a video card with a DVI output (seems HDMI output is still tough to get) and a DVI to HDMI cable. This is a "cable" and not a box because it is all-digital -- no conversion here! It looks as though most of the new video cards go well beyond the resolution you need, so you're good there (but still check before you buy.)
A DVI video card and cable will keep you all-digital and you should experience your TV to the fullest! Enjoy. http://www.newegg.com/Product/ProductList.asp?Order=POPULARITY&Page=1&Category=38&Nty=1&N=2010380048+4017+1069109630&Submit=ENE&Subcategory=48