What can I do to start the tap easily?
Turn it to the left.... Kidding aside, plug taps are what you get if you don't special order something else. I've had a couple of taper taps over the years, I don't think I own any at the moment. It's something I only get on an as needed basis, as plug taps are pretty much good from start to finish, unless you've got a particular need. Plug taps start fine. A little chamfer, countersink, or even a heavy deburring makes about any tap work better.
What sort of hole are you tapping? how precise are you shooting for? If it's gotta be "dead straight", a tap follower, a center in your tailstock on the lathe, mill, drill press, etc can steady it up. Preferably the same setup as you used to make the hole.