In the comparison here (second link is broken), from a gaming perspective, the Turion based system is likely to be the better solution because most AMD based laptops/notebooks use discrete GPUs.
I was able to dig out an HP system on the Best Buy site that was the likely system indicated by the original poster. If so, it had a HD 4200 GPU which will run circles around the Intel GPU on the i3 based system.
The advice, thus far, has been to pick GPU over CPU. I agree as well. Given these 2 choices, I would definitely go with the Turion II system because of the much stronger GPU.