If you want to go direct from your computer, a DAC with a USB input is the simplest approach. If you don't want the computer in the room, a streamer could work well. Sonos, Squeezebox, and Apple TV are all popular examples of those. They'll need to feed an external DAC to sound their best.
I use the previous generation Apple TV. It has an internal hard drive, so the computer doesn't need to be on, there's no issues of lag, dropped signals, etc. I can control it by using my TV's on screen display or with my iPhone with remote app.
All the streamers have different pros and cons. My Apple TV won't do high res music, and is limited to 160gb of internal memory. It also doesnt plac FLAC Some pros are what I mentioned earlier, and I can watch YouTube videos through it. This in itself is worth the $150 or do it's selling for IMO. There's a lot of great music performances on there. Pic and sound quality vary, but it's a great thing IMO. It also does Internet radio, as do the others.