Which computer specs out of these two?

HP makes a very good PC. Dell does as well. I think you will be much happier with the Intel Processor and the amount of RAM will work very well. Make sure that you use a 64-bit operating system to take advantage of the multi-processor. I have built machines as well as, worked on both of these retail platform computers. The GeForce video is much better, in my opinion, than the ATI. Also a desktop machine will handle your gaming better than a laptop will. Just not as portable.