Look on Starlink.com. I don’t expect it’s much worse than your typpical evil ISP or phone caerrier in terms of privacy. Certainly you could route everything through a VPN and that might help a little.
Edit: oh wait, I confused this thread with a different one when I looked at my inbox. Starlink is a high speed service with a roof antenna. For satellite phone stuff, look at https://skylo.tech.
If only there was a way to communicate without videos. The Mesopotamians had something like that but the technology was unfortunately lost.