Gaming Pc or 360

The pc I was thinking about was a HP pavillion elite HPE-380t with 2GB ATI 5570, or 1GB 5570 (If the 2gb is really needed), 12GB or RAM, i7-930, 1TB hard drive.

You can build a nicer rig for less money...

The main difference between console gaming & pc gaming is graphics (which, on pc, are just superior to those on console). You have to decide whether that is a crucial factor in your purchase.
The PC you're thinking is extremely unbalanced, with truckloads of RAM (which is not required for games), a top tier processor (great for gaming but not the most value-for-money proposition if gaming is your sole concern) & a below average graphics card.

So really you're saying that that much RAM is not needed and the Graphics needs upgrading quite a bit. Ok. What graphics card is good out of these:

-1GB ATI Radeon HD 5570 [DVI,HDMI, DP, VGA adapter]
-1GB NVIDIA GeForce GT 320 [DVI, HDMI, VGA]
-1.5GB NVIDIA GeForce GT 230 [DVI, HDMI, VGA]
-2GB ATI Radeon HD 5570 [DVI,HDMI, DP, VGA adapter]
-1GB ATI Radeon HD 4850 [2 DVI, HDMI and VGA adapters]
-1GB ATI Radeon HD 5770 [dual-link DVI, HDMI, DP, VGA adapter]

Also I do not really need the graphics to be amazing, but I would like the computer to last a long time before the computer struggles to run games.

The other thing is that the 360 is a lot cheaper initially and for me in the long term it will also be cheaper.

Where can I find a Rig for less money, I have looked in quite a lot of places?
Thanks for the reply and advice.

Look for the prices of the component parts. The satisfaction of putting it all together yourself is worth quite a bit as well. You don't need a whizzy case - plain ones can be bought very cheaply - and your existing optical drives are probably adequate. Go for a decent power supply unit without cutting costs on that.

Researching for compatible parts should take at least four times as long as screwing it all together. /

The 5770 would be the best bet amongst those. You could look for pre-built rigs all over the place, just go to newegg or amazon or any other site of your choice, & configure one within your budget.
Or you could built one yourself (which is more tedious but well worth the effort).