Hot-dip galvanized and galvanized are usually the same thing. It's for outdoor use. There's also electro-galvanized, but it isn't suitable for outdoor use.
For end grain in general and fascia boards in particular, I would choose 4" / 100 mm nails. Nails don't hold as well in end grain since it's along the fibers. Additionally, fascia boards and the ends of the battens are exposed to harsh weather conditions.