A netbook should be more than enough for your needs then. As long as you don't mind the small screen size, I say go for it. They have great battery life and are extremely cheap.
As I already mentioned, you can get a top notch desktop (just the box) for less than $1,000 without an OS. If you were to cut corners, you can probably reduce the price from the $800 to about $600-700 range, but you would be sacrificing a lot of performance and it's not worth it in my opinion, especially since a sub $1,000 desktop is well within your budget.
Here is a customizable pre-built desktop I would recommend:
-Click on the link:
http://www.cyberpowerpc.com/system/C..._Configurator/
-Click on load
-Enter 1D2TH7
-Feel free to change the case to whatever you like, add a monitor/operating sytem and whatever else you want/need. But, you really shouldn't need to change any of the core components I have already selected to give you the performance you need at the best price(CPU, motherboard, graphics card, RAM, PSU).