Thanks, fb39ca4 and Supernova1138,
While it doesn't have to be an nVidia card, I have been comparing other aspects of which card to get, and in the past, I found the drivers and setup options of the nVidia-based cards were less trouble free, for me.
I've always had good luck installing and finding the drivers when I needed to. I also like the fact that the nVidia custom profiles usually give so many ways to tailor for specific games and applications, which does provide a way to smoothe out meshing work and play on my system.
I haven't used any systems with AMD graphic cards. That said, I am not an expert in this area, but I tend to stick with what I am familiar with. I have both a GT-240 based card, and a 430 GT card for comparisons in more than one pc. I most likely won't be using the 430 GT in my eMachines, but it will probably do nicely in another pc I have. The 240 card will most likely be in the eMachines, as it was recommended for mixed use at least twice to me elsewhere.
So thanks much guys. One of the things I noticed about some of the recommended cards were their low power requirements. Maybe I will check out some AMD cards. Either way, I am now much better informed. Just why I asked for help here in the first place!