add twitch on my web

hello

I would like to know if you guys can help us with this issue

We are going to do stream in our page but we want copy the same code than this one.
http://gamebeyond.com/live-streams/

As u can see there, you can choose in the game that you want to
There is no plugin or widget that u can download to generate the same multi option game.

you guys know hoy can I do that?? the code??.

once inside the game you want to see there will be more options, can you do to avoid redirection to twitch but within my same page ???

thanks guys I hope you can help me and again thnxs fot your time