Drill press slop

[pfredX1]

I don't think slop is what's causing your problem. You're probably not spinning fast enough. Your drill bits may not be as sharp as they need to be either. Drilling wood with a 1/16th inch diameter drill bit you should be running about 10,000 RPM. That nets you 163 surface feet per minute. Which is well within the capability of HSS drilling wood. Then you'll be cutting fibers instead of tracking along the grain.

I can only encourage you to try to sharpen your drill bits too. That is something you just have to work at. When you get good at it it's nice to always have very sharp bits. New bits are not always all that sharp either. What I'm saying is when you get good you can do better. But skill like that is not something you can expect to achieve 1, 2, 3. It takes a bit of effort. Most folks won't even bother trying to sharpen small diameter twist drills. Me, I'm not most folks. You seem to be doing what most folks won't try to do yourself. As far as tricks go magnification is essential, along with a well trued and dressed grinding wheel. Past that it's motor skills. I dare say there's a bit of mind over matter going on in there as well. Visualization helps.