Your best option, without a doubt, is to shop the
Lenovo Outlet online storehttp://outlet.lenovo.com/outlet_us/laptops/#/?page-index=1&sort-criteria=1. I spent many months searching for the best and cheapest laptop option for my daughter. Her criteria was relatively simple - it had to be able to play Sims 3 and especially Sims 4.
Sims 4 requires that you have some type of basic graphics card. Here's what I eventually purchased about 4 months ago;
Total Cost was a simply amazing
$303.00 including free shipping. Refurbished, but with a free 1 year warranty that can be extended for 2 more years (total 3 years). The refurbished laptop that we received was indistinguishable from a "new" laptop.
Specifications
Lenovo G505 series laptop
Screen size: 15.6 inches
Operating System: Windows 8
CPU: AMD A10-5750 2.5 ghz
Memory: 6 GB DDR3 on two sticks, 1 x 4 GB and 1 x 2 GB (it's vital to have dual channel memory for the graphics card to work properly)
Hard Drive: 1 TB (5400 rpm)
Optical Drive: DVD R/RW
Graphics Card: AMD Radeon HD 8650G (no dedicated memory, therefore dual channel main memory is critical)
Weighs just over 5 lbs
I'm not employed by Lenovo - this is just the best deal around. Here's a link to the site that will show you the currently available laptops;
http
/outlet.lenovo.com/outlet_us/laptops/#/?page-index=1&sort-criteria=1
I recommend going there on Monday mornings at around 7 - 8 am EST because that appears to be the time that they post most of the "open-box" and "returned" systems that are the best deals. This is important because the systems like the one that I purchased above go very quickly.
Good luck with your shopping! .... Dave