The software that manages the stream from the DVB-T dongle is Tvheadend Personal Video Recorder (PVR) back end. It's a very polished TV streaming server and recorder, with lots of options.
It allows to scan for channels, list them, obtain the schedule, record shows (even automatically) and stream in a standard format that any video player can read. Essentially an open-source TV recorder on steroids. All the management is done via a web-browser, so no special front end management software is required.
Most of the options are pretty explicit, but normally one only needs to set up the dongle, let is scan for channels, click a button and it's ready to stream.
This means that once the server is up one can connect to it without any additional software other than a standard video player like VLC. You can actually download a .m3u file and start the stream whenever you want just like an .mp4 or .avi file. I intend to use it with a media center based on Kodi.
The system does however have its limits. I tested with two streams and it started to struggle, every stream takes about 3 to 5% of CPU. Since this project is meant for personal use only it won't be an issue.