Note: I also posted a video with more information and a demonstration of how I live stream.
I've been working on video streaming on a tight budget for years, and have scrambled to get live-streaming going for some liturgies on short notice, so I figured I'd put together a video showing a few options from 'cheap using what you already have' to 'a little more expensive but within a reasonable budget'. Note that if you plan on having regular video streams for the long term, it's better to invest in a proper streaming system with remote-controlled PTZ cameras and hard-wired connections.
All of the options in this post will require at least a smartphone or computer (laptop preferred) with a good WiFi connection. Ideally, you can also plug your phone or laptop into power so the battery doesn't run out in the middle of the stream