Hello! What an exciting time! As Bam mentioned, I have a 3 1/2 year old and 2 bunnies. One of my buns was around when we brought her home from the hospital. She is amazing with the bunnies and they love her too. It was a lot of work when she was a baby, for sure, but worth it. 
I found an old thread that I responded it when Everly was 1 years old so here ya go. Hope it’s helpful.
https://binkybunny.com/FORUM/ta…fault.aspx
As for allergies, I don’t really know much about allergies but I’ve never had allergies nor my husband. As soon as Evi was born she was exposed to bunnies and hay, cats and horses (well, I think she was about a week before she met our horse.
) and she is fine. But from what I’ve read of allergies, early exposure is better. There are DRs who are telling Moms to introduce peanuts much earlier than a few years ago. More kids are becoming allergic because parents are keeping them away from it so long.