Also please tell me how these AMD and Intel chips compare to each other.
- Asking this in addition to the rest is why you're not getting any bites.
Google is your friend: www.google.com
So is TomsHardware: www.tomshardware.com : check the charts, there's no point repeating the contents of an article in a forum post.
I'd get a laptop with an SSD, but perhaps not an Ultrabook/Slimbook.
- The AMD Slimbooks may suite your requirements better (as you want to work and game on the same unit).
I would not rely on the Intel HD4000 for gaming as Intel's 3D drivers are not always up-to-par, even if the performance is 'almost acceptable'.
For a driving game the HD4000 would be OK at medium settings I guess.