I am curious and looking for ideas or recommendations on how to accomplish live streaming to a self hosted server from anywhere.

I know the appeal to live streaming is live reactions from a community, like twitch or Facebook or whatever. But what I'd like is private live streaming to friends and family, automatically saving this footage to my own server for historical reasons. Quality and bandwidth isn't limited to some subscription.

It's maybe a niche thing to self host, but if any of you have ideas on how this could be done, or recommendations on solutions that already exist, I'd be very appreciative.