Some tap handles have a center hole in the top in place of the little shaft that fixes in the drill chuck. You can take a center and chuck it up or something pointed and usually do it that way.
Be sure you buy good drills and god taps. china made stuff is usally not that great and is really brittle. The best taps I have used come from Japan, YMW brand. I've also used some Kenametal brand that were made in Japan as well that were great. I've tapped a bunch of holes, but by far, the hardest thing I have ever done is Ti. That stuff is a royal pain it the arse. I'm sure a tapping jig might make it easier, but I've never used one.
Be sure to use some cutting oil or something. Anything is better than nothing. I would not use oil in G10 or CF or anything like that, but definitely use it on metals. Twist in a rotation or rotation and a half, and back the tap up about a rotation or so to "break the chips". Then continue back down to where you had stopped cutting and repeat. I do this when hand tapping, but not when tapping in the machine under power. I always do small taps by hand. Anything under #10 or so. I may start them in a machine, but finish them out by hand.
Straight flute taps - commonly called gun taps - usually have a point and are for through drilled holes. The ones with a flat on the bottom are ususally spiral fluted, and for blind holes. The chips ride the flutes out of the hole, just like a drill when drilling.