Randy3, I would agree with what
kashifme21 said. I've had a bunch of people ask me about which laptop they should get -- I'm a technology/software guy -- and I just put up a blog post with some general guidelines for people like you who are looking to get a mostly general-use laptop. It has some guidelines on
CPU (i3 2nd Gen is fine),
memory (4 GB will do it),
hard drive, etc:
http://computingkeith.com/2011/08/08/how-to-buy-a-good-laptop/
In your case, you might look at a general use machine, but upgrade to a dedicated graphics card, to keep up with the high frame rates of games. While getting the integrated Intel graphics is, these days, enough for DVDs and HD YouTube videos, it's probably not going to be ideal for gaming. I have Intel integrated graphics in my Dell Studio 15, and it has worked fine on everything (tho I am not a gamer).
My personal favorite recommendation is to get an SSD, despite the extra cost (~$200-$250): the seek times are ~100x as fast as a spinning hard drive, and they make a modern computer feel much more smooth and responsive all around. Once you go SSD, you'll never go back to a legacy hard drive. (I wrote about that, too: "
SSDs: are you experienced?").
Hope this is helpful, Keith