The size of the drop depends on the viscosity of the liquid, not the size of the hole.
Mostly right (you didn't think I'd let a fluid mechanics topic sneak away without inputting something, did ya?).
It is a viscous instability that causes drop formation, but the diameter of the originial pipe is the initial condition. That is, it takes longer for the instability to break apart the constant stream into drop for a much larger diameter flow. Longer typically means that the center of the flow is moving faster, so more of the center will fill up, so you get larger drops.
There is also surface tension that can be a very large factor in drop size. the ratio of the viscosity to momentum (also known as the Reynolds number) and the ratio of viscosity to surface tension forces (also known as the Weber number) are some of the critical number needed to predict drop size and shape.
Plus, the larger the pipe, the more satellite drops you get. Satellite drops are the very very small ones you see, like the very tiny drop that comes up in that slow-motion video of a drop hitting a pool of water.
Finally, there are some fluids that just won't form drops. Some of the really heavy polymers you can actually cut with scissors, and even some of those have such a high surface tension that if you didn't cut them you could pour them out 10 feet or more and they still get sucked back into the cup.
All that aside, I got a medicinal eyedropper when I did my fishless cycle. It should have marks on it for every 0.1 of a mL so you can get acurate measurements without having to count 200 drops.