Once you get a good feel on how much cotton you need it will be a lot faster process. It should pass through the coil but not be too tight and not too loose. Just roll the entire cotton piece gently until its uniform and narrow. I use tweezers which helps every process of coil building and wicking. The wick should go through the coil with some resistance but not enought that it pulls or deforms the coil. Some people then like to pull the ends of the wick up and screw in the first piece of the chimney, then push down the cotton with the tweezers into the well near the
juice canals and apply the juice to prime it (never fire dry cotton, duh). I actually like to drip a little juice on the cotton and apply it to the sides of the coil deck and THEN putt the chimney on. This ensures that the cotton doesn't completely clog the juice canals. But to each his own. It just takes practice. I took me 5 minutes per wick when I started and now I'm under a minute. Good luck and vape on.
This is a good video on kayfun coil build and wicking. Skip to 7m40s to see the wicking process which I described above.