Hi Kathy, welcome to Pet Talk.
I'm afraid I am fairly pessimistic when it comes to combining dogs and bunnies. I know we all have seen pictures of them sleeping next to each other or one giving the other a bath, but in our experience at the rabbit sanctuary it's been a lousey mix. I think it greatly depends on the dog's personality....it needs to be calm and laid back. Buns are naturally frightened of dogs (Danger, danger, that dog is gonna eat me for dinner!!!), so buns usually will react by running away....and that in turn entices the dog to chase the bunny and then usually someone gets hurt or accidently killed, and it's not the dog.
An older dog might accept a bunny but I doubt a young puppy would.

As Heather suggested, you would have to introduce them very slowly (with the bunny preferably in a cage) and let them get used to each other. Then when you are comfortable that the dog won't get crazy, introduce them making sure each knows it's loved and your favorite, etc. You would have to closely supervise them they WHOLE time they were out together. Sometimes dogs just get notions and react and then it's way too late. Plus it is really unnerving for the bunny to be around something so large, that looms over them.

I think most bunny owners will tell you the BEST way to get to know your bunny and for him to know you, is for you spend a lot of time on the floor, down at the buns level...they feel safer there because they can flee; many buns do not like to be picked up at all...it depends on how you handle your bunny in the first few months of ownership and plus each bunny is different.

I'm sure this is way more than you wanted to know but hopefully this will give you a better idea on whether or not adding a bunny to your family would work for you. Don't get me wrong, buns are WONDERFUL pets...they are charming, inquisitive and very amusing but they are also delicate, etc. etc etc......