In my opinion its never too early to start training.
Right now you can enforce no biting by giving puppy a toy, and yelping if puppy nibbles.
You can always start with sit too when you feed.
And definitely leash traing.
Even if it's just letting puppy walk around the house with it on, its a good idea to start now.
These dogs need to be on leash at all times, except when in your back yard, and even then if puppy is a digger I suggest a lead.
Socialization at this age is really important to, with kids, humans and dogs.
Good luck and congrats on the new baby!!!
I might be swimmin with the pigeons, or flying with the fishes, see my world is different.