YAY!!! congrats on your new addition! that is very exciting.
please, do not worry about the bunny and the baby at all. if you want it to work, it will work. it’s no different than people who have a cat or dog and a new baby. i had Stephen, my first rabbit, when i was pregnant with my son. it takes a bit of juggling, and it’s helpful if someone can help you care for the bunny in the first months after the birth b/c you’re going to be majorly preoccupied.
our Stephen Bunny passed when Michael was a young toddler, but before that he pretty much left him alone. we’d sit together sometimes and i’d help him pet the bunny gently and Stephen was always great with him (and he was unneutered to boot!) Michael doesn’t remember our first bunny (he says he does when i show pics, but i doubt it). we got Meadow when Michael was 4 years old, and that was more of a challenge than a newborn and a bunny.
just enjoy this time. you could even prime her for the new baby. spend a lot of time getting her used to pets (if she will let you), you could try clicker training and teach some simple commands to make things easier on yourself later. i don’t remember if she is or not, but if she’s not spayed yet, you will want to do that before the baby comes.
edited to add: this is a great FAQ from HRS… http://www.rabbit.org/faq/sections/children.html
halfway down it talks about a new baby in the house and then there are different things to teach at different ages.