I am another one for learning to do it by hand. It is something you can take with you virtually anywhere, unlike the machine, which is effectively a crutch. Hand sharpening was one of the first things we were taught in the machine shop class in vocational school.... back in the days before CNC equipment.
I do virtually all of the drill bit sharpening in the cabinet shop where I work. I use a benchtop belt/disk sander for anything 3/16 and up, and a small diamond wheel for smaller stuff. It is so fine and smooth that I even touch-up the flats on Robertson driver bits and the countersink edges of those combo type drill bits. An 80 grit disk works well for the bigger stuff, better if you drag something across it first to knock the initial roughness off.
I have even gone so far as to fix drill bits "in the field" for install helpers or other trades using a belt sander. All you need is someone to hold it steady vertically and a few seconds later comes the stunned look.
After the basics, which will get you by for most things, you can experiment with lesser relief angles for drilling plastics, harder metals, etc.
Overall, very worthwhile skill, plus you can save the money to by more of the tiny bits that are just too hard to see..... bi-focal safety glasses anyone?