Blue Iris is a great piece of software and Ken the developer has constantly improved it. I think there's a way to get the RTSP stream from your existing cameras.
One of the slick things you can do is add machine learning to it and have motion alerts based on what is detected in the video (person, car, bear, those are some of the built-in options). That looks pretty slick.
I'm trying to recall, but maybe someone else can answer: do the UniFi cameras stream RTSP directly still, or do you still have to run their controller and re-stream it?