It pays to start out with quality taps that cost much more than the junk you will find at most retail outfits. I have had decent luck with DUBRO tap / drill sets, but you can do much better than that through McMaster-Carr. You will improve your chances of success with cutting fluid, too.
If you plan on doing it freehand, it pays to make a little drill guide to keep the bit perpendicular. For this you will either need a drill press or a very good eye, much better than mine [8D].