When you can settle on the superior capability on today's integrated graphics. The latest complain I hear about today's reliability on video cards is that they burn out too quickly.
When shopping for a computer, check to see what powers your graphic capability. If it is Intel, then it is basically a linux machine. Hopefully you are lucky and it is equipped with Nvidia 6150SE. It wont play the latest game but it will play 'Most Wanted' just fine. Also it has very good video encoding ability, in which I prefer to do my video editing.
Another thing you do not need is a new power supply. Waste more electric energy than needed.