Congratulations on your soon-to-be new addition! When I first brought Max home as a pup, I needed only a flea comb (small comb with closely spaced teeth). A mustache/leg comb would be a good alternative, and very useful as they grow. This took care of everything from head to paw.
As he grew, I added the pin brush, a Madan brand pin brush. YT member Jenny sells Madan brushes and combs on her site:
toplinepet.com
She offers a 10% discount to YT members.
She also sells some of the best brands of shampoo. A tearless shampoo especially for the head is a must. Puppies require very little conditioner, if any.