Welcome to the world of recording and HR in particular, loudyouth.
A DAW is a digital audio workstation which is a fancy title for a recording machine that records digitally. That could be a standalone like
this or
this or it could be one of the many software packages like Reaper, Cubase, Protools, Logic etc. These ones are loaded into your computer and work from there, usually through something called an interface which could have one, two, four, eight or ten or more inputs, which means you can record more than one instrument at a time or a few vocalists or both or drums if you're using more than one microphone {which is more often the case}. The computer DAWs often have many many tracks, the standalones are fixed in the number of playback tracks although they may have many virtual tracks. The AKAI DPS series for instance have 250, any 12 of which can be used at a time. When people say DAW the perception is of a computer but any machine that records digitally is a DAW.
Having 6 outputs should mean exactly that ~ that you should be able to record to six separate tracks on whatever DAW you record to. You might use more than 6 inputs but however you play it, you'll have 6 outputs. So, if, for example you were recording bass, guitar and drums and you had 10 inputs, you might give the guitar 2 ins, the bass one, and the drums 7. You then have to decide how you group that into 6 outs. You might give the guitars one out each, the bass one, the snare one, the kick one and group the overhead/tom mics to one output, hence 6 outs going to your DAW which you send to 6 separate tracks.
I don't use a computer for a DAW as I have a standalone but that's how I understand it. Might be totally off beam, in which case, someone will be along shortly to put you right. Sometimes, the product descriptions aren't exactly as they describe in reality which can be annoying.