Personally, I would wonder about your Staffy Bull with a new dog in the house. Some of the lines on that breed can be rather gamey. Don't worry about bringing a Dogo into your world. She should be able to get along with all your critters. Provided that you set the rules down form the beginning.
Puppies love to play.
Bouncing on a bunny could be lots of fun if allowed. Enforcing proper behaviour is all it takes for everyone to get along.