What PC or Laptop to buy?

I'm looking for something that'll run a few games well, fairly low requirements. Highest type of things will be like League of Legends or Sims 3 level. Along with, of course, a decent ability to use word >-> and all the other basic functions laptops are used for. Looking for over 2ghz processor speed, but I'm wondering if Duo core would be suitable, or if I should look for a triple or quad core. Considering three main options at the moment, but Ill likely talk to professionals and listen to their opinion before buying anything.

Currently I'm looking at;

Fujitsu Q702 Tablet/Laptop, i5 3427U 1.8 ghz, 3mb cache.4gb ram 128gb ssd. Graphics card "Intel HD Graphics 4000" For $250. (Not actually used, disregard source)
http://www.reboot-it.com.au/fujitsu-stylistic-q702-tablet-core-i5-3427u-4gb-128-ssd-windows-8-2yr-wty-hybrid-notebook.html

Lenovo G50-30 Laptop, Intel Pentium Quad Core N3540 2.16ghz, 2mb cache. 4gb ram 500 gb hdd. I don't know about the graphics card…
https://www.jbhifi.com.au/computers-tablets/laptops/lenovo/lenovo-g50-30-15-6-laptop/630186/

Alternatively, I was considering putting together my own desktop or laptop, with a couple of friends who work with computers. Is this option likely to be more affordable, and better suit my purposes? Also, is it likely Id be able to put together a decent laptop, or would I most likely be restricted to a desktop.

And what type of graphics card would I need?

I'm getting one next week. It's a Toshiba L50-B-1NL 15.6 Inch Ci3 Processor 4GB 1TB Laptop, it's only £300 and looking at the specifications and pictures of it, it looks well worth the money. Suits my needs as well such as playing games like you and using Photoshop and video editing software etc.