I haven't noticed any actual improvements but one thing I just noticed was whatever pokeball the parent has that you caught them with, the baby pokemon will have. Example, I caught 2 rhyhorns with a great ball and when they egg hatched, the new pokemon was in a great ball, instead of a pokeball.
No, you still have to take steps to hatch the pokemon like normal. There's a long stretch there so you can ride back and forth on your bike and its right next to the berry farm so I can check on that every now and then.
Also, it's on route 7 for anyone who wants to know the exact location.
Currently playing Final Fantasy XIV A Realm Reborn --- Looking forward to Pokemon X&Y 3DS FC: 3368-1267-5146