As @nekoaudio has indicated, your Mac can be used as a server. Since you already own this, and are new to streaming, it’s the best and most economical starting point. I used a MacAir for a while as a server Most servers are packaged with streamers and you already have one.The Mac also gives you the toslink option, and many servers limit you to usb. As to which sounds better, use your own ears to decide.
Eventually most of us move on to dedicated servers, and not have to put up with the issues that can arise with using general computers. I recommend the Melco N100. It is a server/streamer, and it comes with a 2TB HD. Sounds great, works flawlessly. You can transfer the contents of your MacMini to the HD or connect the Mac and just play. It is usb only, however, so if you decide that the usb input of your DAC is subpar, then not for you unless you use a converter
Eventually most of us move on to dedicated servers, and not have to put up with the issues that can arise with using general computers. I recommend the Melco N100. It is a server/streamer, and it comes with a 2TB HD. Sounds great, works flawlessly. You can transfer the contents of your MacMini to the HD or connect the Mac and just play. It is usb only, however, so if you decide that the usb input of your DAC is subpar, then not for you unless you use a converter