Both AMD and Intel these days have Graphics processors embedded in some of their CPUs. You'll need certain NB chipsets to activate them though.
The Llano series from AMD (in AZN's build) is a good option if you're willing to sacrifice significantly on the CPU side.
AZN's build in general looks pretty solid for a $300 build but the CPU will be significantly slower than either the propus 640 (quad) or the i3-2100, but if you're willing to overlook that, you might save yourself some $$$.
calguyhunk, I realized that it was the A6 and even then it performs at the level of a Rana which isn't terrible. The A8 is good and better but the reason I didn't recommend it was because it is out of stock on newegg but you can always check it out on Amazon. http://www.amazon.com/AMD-A8-3850-Graphics-Quad-Core-Pr...
Ninja, you honestly don't need anything more than the A8-3850. 1080P Youtube would be easy for the 6550D in the A8-3850 to handle, and just all the tasks you require going the Llano route is cheaper. Just my 2 cents though.
so i think these are my options right now. just need to choose the CPU. upon further research, it is a CPU vs. GFX situation. it seems that AMD's gfx is way better, but the question is whether i3's gfx is good enough for my needs.