restream triplej

The kids (and me too) are going to listen to triplej hottest 100 today and tomorrow, and I was thinking I should set up something on my server so they can stream it over the lan from a single internet feed rather than all streaming over the internet separately. A regular radio won't work if they are using headphones on their computers playing games etc as well. Time shifting would be neat too but not a requirement. Has anyone done this before? I did years ago but hopefully there is a single tool that is easy to set up these days? Thanks James