I want to live-stream some games while I play them. How do I this? What applications/websites can I use?
I would suggest streaming with the no longer free program, XSplit. It's very popular for StarCraft II, and is quite easy to use. It can stream both your game audio and your microphone. (Plus, it doesn't need your Stereo Mix!) You can mix together scenes which you can switch between at any time. Plus, it streams straight to the website, and you don't have to have the website you are streaming to open.
Works well with twitch.tv and ustream.com
How to do this:
If all goes well, you should be set to go.
For more applications and a great guide that goes into a lot more detail from the Team Liquid Forums.
I use a free Alternative to Xsplit called www.FFsplit.com
Here is a video showing an overview of it;
and for fullscreen capture you can use Dxtory