The migration is not an event with a start date. It is a continuous, roughly clockwise circuit driven by rainfall and the grazing that follows it, and some part of the herd is moving at all times.
Two things people usually plan around are the calving on the southern short-grass plains early in the year, and the river crossings in the north in the middle of the year. They are at opposite ends of both the calendar and the map, which is why the best month depends entirely on which of the two you want.

