Another option... If you are using OBS, you can download and set up nginx so that you broadcast to multiple sites. It needs a decent PC and little bit of setting-up to get it all going, but it does work, and it's free.
I was using it for 3 sites at once. If you are doing a private show at one site, you want to be able to stop the stream at the others. There are ways of achieving that with this setup, but I should think that the Manycam suggestion by tylerrockhard makes it easier to do this, if you're happy to buy it.
