Definitely keep the billy apart from the females, and even more importantly from his own daughters at all times. Goats are mated "in hand", as they get taken to the male if/when in season, for a very quick mating, and that's it. Probably a repeat once or twice that day. The billy needs his own companion, preferably a wethered male.
As to milking routines - it all depends on how the kids are fed (or if they are weaned), how much milk is being produced etc etc.
I would recommend to get a few goat books to learn more about goats before jumping in.