Hi there!
That is a nice set of speakers!
I believe if you want the subwoofer for music (meaning, your speakers don’t go as low as youd’ like), you probably want it for post too. I know the KH310 can be considered full range without a sub for all practical purposes, but the 120 dosn. Plus using a sub has a very clear advantage in that you can put it wherever the bass is best, which rarely coincides with the best position for your speakers, specially when you have five of them. So if I were you I’d just set it up in a way you can use it for everything.
Now, yes, the Sub needs its own channel so it can be used for the LFE. But If you are going to use the same sub for both LFE and bass management, then it also needs to be fed signals from all your other channels so it can manage bass. For that you are going to need something to take care of routing and processing (crossovers, phase control, possibly delays). I agree with Mattias that you should avoid doing that inside your DAW, for the reasons he specified.
Fortunately there are many alternatives for that. I for one use a combination of RME Totalmix FX and Dirac Live and it works wonderfully.
Totalmix FX takes care of the routing (sending from all 6 channels to both of my subs, with the right levels, with different specs for BM and LFE, and handling the crossovers) and Dirac takes care of frequency and phase correction. I tried Dirac’s Bass Control which can deal with everything at once, but it introduces HUGE amounts of group delay in the bass, so it is unusable. But I find their basic correction very good.
If you have the newer RMEs (UFXII and III, UCXII, 802fs, etc.) you can even ditch Dirac, cause they come with a 9 band eq per output and they can manage delay, which mine (UFX I) doesn’t. I can’t recommend RME enough.
Once you have the processor, a good measurement microfone, a piece of free software called REW and reasonable treatment, integrating the subs is a simple matter of finding the optimal position (there’s plenty on this in Gearspace), setting the levels right so it works a natural extension of your speakes for a full range response, and not a bass boost (of course makee your own “house curve” as you like it.) and adjusting phase and crossover points for each speaker.
Measure in every step of the way and with a little bit of trial and error you’ll get there.
I’m sorry if I went into too basic stuff for you, but I’m not sure what is your level of familiarity with the subject. Feel free to ask any questions!