I start all mine in a browband with throatlatch. I honestly have started way more though in just a halter with a 6 foot rope. I just use the rope as a one sided rein to turn on the edge of the pen at first, I then progress to ridin with a bridle.
Browband w/ throatlatch, definitely. I've seen too many instances of, as Chick mentioned, horses pawing their one-ear headstall off or learning to do a well-timed head shake or head rub to get the bridle off.
I started with a halter for my first few rides, after that I moved onto a full cheek snaffle and a one ear....but that was only due to my headstall with a browband didnt fit at the time, and since than I have bought a new one