I said read through what is posted and apply what you learn to YOUR situation. If you're running rich then maybe you need to down jet, most of us have needed to up jet. Then again, if you were to adjust the float a little bit you might not be running rich any more and might not need to down jet either. And BTW, the size of the main jet isnt what is responsible for setting the mix at idle, that would be the idle jet, idle screw, and the float setting has a large influence as well....
On the hoses, there are several versions of the CNS carb and not all of them have the same hoses. On the ones with the stock red plastic air filter the top one goes into the air filter, on your version those hoses can be left open or you can plug them. Some people have better luck plugging them, others leaving them open, some like to be connected to the air filter, its trial and error. The only one I wouldn't plug is the overflow that comes from the bottom of the carb.
Sorry we can't tell you exactly what to do with your carb, there are lots of factors that determine what adjustments need be made...
I still say you might want to play with the float adjustment a little bit. Try this, next time you start out cold, turn on the fuel valve, start the motor, turn off the fuel valve and warm it up as normal. See if it seems to hold idle better (warm up quicker) before it dies. If so, you could benefit from a float adjustment.