Welcome! Happy to see you here.
Anyway, there are two options.
A) Live with it. This is what I do when I stream with Evilpoptart, as the other option isn't pretty.
B) Connect with your partner(s) over a video conference (skype, google chat, etc). This way you have a video feed going to your partner(s) that is live so they can keep up. Problem is, this uses even more processing power and bandwidth. Also, you have to select a webcam that is not in use by the streaming program (like xsplit or adobe flash media encoder.) Alternatively, you could try using a webcam splitting program, as it will allow multiple programs to access one webcam. A quick google search gives me this:
http://splitcamera.com/My biggest recommendation above all is to get an IRC client connected to your streaming channel. Watching your stream while you're streaming will waste precious bandwidth, and connecting to chat over an IRC channel will allow you to still watch chat while you stream.