I've had young dogs with babies and toddlers and I swore (held to it too!) that I'd NEVER do it again!!!!!!!
Diapers plus young dogs failed my household everytime. The dogs just couldn't resist the smell of a dirty diaper and it never failed that I'd be picking up pieces of dirty diapers throughout my home.
Young dogs also LOVE BABY TOYS. Who is the teething ring REALLY FOR I'd find myself often asking.
The baby is going to be crawling along right along with the puppy and the puppy will be big enough to create havoc while young enough not to care.
It was just plain complicated for me with a 2 year old a 1 year old a new born and a 9 month old puppy....ugh. In the end I ended up rehoming the pup because I just couldn't keep up with it all. The new child is a handful...a puppy just made it that much harder.
With that said....
I did NOT go very long without a dog
I love dogs and simply can't imagine life without one lol. Oh I tried...I really did but it wasn't happening.
I went to the local animal shelter and picked out a 2.5 year old dog. Young enough to be a TRUE JOY but also trained enough to make life manageable.
Puppies turn into dogs really really really fast. So unless you're just dead set on wanting to go through the potty training and chewing (read: chewing up baby's brand new things which I'm sure you'll have around even before baby lol) and all of the other things that go with having a puppy...I would suggest considering a young, but adult, dog.
You would then be giving a wonderful dog a home which s/he so desperately needs while also avoiding much of the headaches that those cute lil ankle nippers come with.
I also may be biased. I'm not sure what kind of dog you are looking for. I've always had big dogs so my issues may have been worse for that reason. If you are considering a little dog then maybe a puppy wouldn't be quite as traumatic