I've streamed before but never done something like what I'm probably about to do.

I need to connect about 4 people or so in different parts of the country and put it out to Facebook Live so I'm looking for solutions. This for a non-profit so budget is really limited. In the course of seeing whats out there I came across this. https://www.switcherstudio.com

The approach they say would work is to have everyone including me, go on Skype or Zoom and then using their service I could broadcast to Facebook Live.

Anyone used this? Its low cost, $29/month. Free 14 day trial so I'll probably experiment at the least.
I do wonder about bandwidth on my end what with both Skype or Zoom going at the same as Facebook Live.

Any feedback? Alternatives most welcome. (Please remember this is low budget)

Thanks!