There are lots of choices in that price range, however finding one with a full HD screen limits your choices in the $600 range. Most laptops with HD screens come in at a higher price point, sometimes $200 more than what your budget is. My suggestion is start with Dell.com. You can find some good deals and they have sales all the time for $200+ off their regular prices. I used Dell exclusively when I worked in IT and they are good machines. The ones that had the 1080 screens were in the $800+ range for the Inspiron and XPS. You can get a nice Inspiron with a 1600x900 (not full HD, but still nice) for around $600. The jump to the full HD is another $200. You could also look Lenovo. They have good machines at good prices, or HP. Even so, for full HD plan to spend at least $800 unless you buy a used one.