Looking back on the practice kit... my results were... less then good...
1000 hours and a year and half later... when it's time for me to countersink, two things have to happen.
First - the lead on the countersink bit must be going into something. If you are holding the cage in your hand, try pre-drilling into a piece of wood. This will give the countersink lead a place to hold a true line.
Second - rig up the drill press. I find it much easier to keep the bit centered when using the drill press. I still use the countersink cage to set the depth, and I have a piece of wood under the part, so the lead bit can have something to drive into. That helps to keep it turning straight. Hope this helps. Just keep trying, you will come up with better results.
It always seems like the second part looks better then the first
