Im building a computer too with the same budget in mind. Im getting an AMD FX-8350 8 cores, 660 Ti gfx, 16go of ram, and a wicked amd motherboard for this price, oh and don't forget a good psu too. On newegg, it's 950$ with taxes, not bad at all id say. Note that this is without the case or windows, since i already have those.
If you're not planning on gaming a lot and doing lots of render, id say amd is the way to go. Hell even for gaming it's still a very decent chip. Games are more gpu bound those days anyway. Or go with a 3770 or 3570 intel cpu if you prefer a little more speed by core.
And if you dont have a good monitor, id suggest getting one, just got my 32'' lcd yesterday to replace my old crt 19'' LOL, it's crazy.