PC gaming is better in every single way, hands down, no competition
This is not true. Again each computer is different. Some people have no problems playing a game on the PC while others do. For me, putting disk in the 360 or PS3, install, and then play is great for me. For PC, put disk in tray, or downlod from internet, install, and then having to tweak and fiddle with the computer to get the game to work, is not better in every single way.
So yes there is competition. All you are doing is flamming when it was already said where the console can be better for some people like me. Yes the PC is so much better in ALMOST every way, but there a good reason to use the console over the PC. NO worring about compatibily issues. Put in and play. For that, for alot of people that is better than no matter how much the PC can offer.
For some reason, I thing for the OP, he should get it on the 360. If his laptop doesn't run Skyrim, (small chance of it happening) and if he can't get the best graphics that he thinks he should be getting the he will get upset at trying to tweak the laptop. Sometimes the frustrations and aggrivation is just not worth it. Is the OP willing to go through this? I know for me, speaking of experiance, it was a pain trying to get Morrowind and Oblivion to run on PC. It is so nice just to put disk in and play, no worries about incompatibility issues.
Also you have to find what your graphics card is before you even consider getting it for PC. If you have a built in graphics card that is not ATI or Nvidia, and something like Intel then don't even bother since they are not really made for gaming. I am not sure how you can check to see what graphics card you have. Most laptops have a sticker on them to say what they have on it. What does your sticker say?
Only thing I can think of is go to start, right click on Computer or My Comptuer. Right click on Properties. Click on Device Manager on the left, (That is if you have Windows 7, which you should be if it is brand new.) If it ask you to verify, click on "yes" and then choose Display adapters. Click on the small triangle or double click on Display adapters. There underneath it it will say what your graphic adapter is.
You should have a good graphic adapter, but then again, why take a chance just because you didn't check.