What you need is a decent PC, capture the stream that looks like:

http://www.twitch.tv/critonline/popout for the video

for the chat the url will be:

http://www.twitch.tv/critonline/chat?popout=

The video below shows juritsu and Chasequrt

So get the CRL-browser for OBS:
https://obsproject.com/forum/resources/clr-browser-source-plugin.22/

and at the streams and or chats.