I have a powerful desktop with 2 video cards and lots of ram, super fast internet and 3 monitors. I use Verysoft cam splitter (the $20 one not the studio one). Took me couple years of saving up money and buying my equipment a little at a time to get to this point.
I've experimented and run up to 5 free chat livestream sites at the same time and it did fine, no loss of stream quality. I can't keep up with that many in chat at once though lol.
What I usually do is start with my highest earning site (Streamate for me), then if it's slow I keep adding sites until I start making money. I pause or end the streams on the other sites when I get a private on one (I mainly do privates). During slow times I run up to 3 free chat sites and also run SkyPrivate, NiteFlirt, SextPanther and Cammodel-directory in the background. If Streamate is busy I just run that one and shut the other sites down.