Answer to your question
Basically, you need to know that Integrated graphics cards are not as good as dedicated graphics cards. Intel graphics are the worst. I would not bother with them and that is what the HP DV1000 uses. You will not be able to do any kind of serious gaming with it. The ATI Radeon Xpress 200M is an integrated card and does pretty good. It is your best choice if you are going to go with an integrated card. NVIDIA's cards are great. You won't be disappointed with those but they usually come in the higher end systems. As far as shared and dedicated memory it is not much of an issue. The shared memory in my system that I have with the Radeon Xpress 200M frankly makes little difference. Even with the 1GB I have the card just can't play the higher end games. I have done some research and I believe you might want to take a look at the Acer TravelMate 3200. It has a 14.1" screen (sorry, closest to 14" I could find) and has a Radeon 9700 dedicated graphics card. That is a pretty good one and would play most games you throw at it at this point in time. I believe this is worth taking a look at as Acer is known for good quality machines. Check it out at WWW.Acer.com. Good luck with your purchase. Just remember, stay away from Intel Integrated graphics. You'll be glad you did.