CyanogenMod vs rooting Cyanogen OS

Background: I want a rooted Android phone, but I have never dabbled with rooting etc before. I own a YU Yuphoria device (which comes with Cyanogen OS). It seems to me there are two ways to get root access: - install CyanogenMod on the phone, or - root the stock Cyanogen OS that comes with the phone What are the pros and cons of either option over the other? If I install CyanogenMod, will I get quicker updates to the OS (including new Android releases)? Does the update happen automatically (or at least very simply), or does it involve some procedure (using the PC to flash/run commands etc) to be followed each time? Currently I am tilting towards CyanogenMod because I think (though I might be wrong) that it will allow automatic regular updates without having to re-root each time. On the other hand, I have read that rooting the stock Cyanogen OS will require the re-rooting each time after updating the OS. Any differences in stability between CyanogenMod (the stable releases, not nightly) and Cyanogen OS?