I play in both, actually. Andromeda is a very slow-burn affair; you can check it once a day and be good. The Black Eye galaxy was put into place after about the first year to offer a more accelerated experience; everything happens 4 times as fast. So, if a ship takes 4 hours to build in Andromeda, it will only take 1 hour build in Black Eye. This accelerated time scale means it is often better to check Black Eye multiple times a day.
Black Hole is also technically PvP while Andromeda is PvE, though reduced player counts (down about 80% since I played a few years ago) mean that both are effectively PvE now.