Hey guys so im looking for a laptop in the sales, and the guy i normally ask these pc related questions says he know nothing about laptops so im looking for a bit of help here. First up the one im looking at and is roughly at the top end of my price range:
That laptop, for it's money is a lot worse then your PC. You would struggle to run the 2 games you mentioned in there at a constant FPS.
If you are looking for a decent performing laptop, you want to be looking around the 700-800 quid mark. Laptops below that often come with shoddy gpus/chipsets such as the Intel HD series.
Try shopping around the refurbished market OR upgrading your desktop would be my best recommendation, but even then, expect to pay upwards of 500 quid for anything remotely decent in terms of GPU on a laptop. not to mention last time I checked, Arkham city was quiet a taxing game.
http://3xs.scan.co.uk/ShowSystem.asp?SystemID=1459 entry level gaming laptop , screen resolution wouldn't be my choice. (but just me being picky about wanting 1080p)
main factors to look for are dedicated GPU and likely AMD CPU for the games the OP mentioned due to blizzard games favoring intel/nvidia for performance.