Your specs are good. Pay attention to your video chipset, as you'll want something that can drive both monitors at a high resolution.
I don't like HP/Compaq (years of bad experience with hardware) Dell (great hardware, abysmal technical support and customer service), Sony (I won't do business with a company that installs spyware on their PCs or sells music CDs with malware on them), Gateway/eMachines (substandard hardware).
Acer, Lenovo, Asus, Toshiba (laptops) are good. Mostly I buy laptops (Toshiba or Asus for netbooks) and build desktops. Desktops are easy to build just the way you want them and you often can get more for your money that way. It also relieves one of the burden of calling someone else for technical support.
If you're not comfortable building your own desktop PC, find a good local computer store that builds their own and stands behind their work. You'll likely be happier with it than any of the national brands, even if you end up spending a little more. If there's a Fry's near you, you can build your components from them and pay them to build it for you. They stand behind their work too.