I don’t know anything about cats, but from what I’ve seen on the forums, cat’s and bunnies can get along very well. It’s not totally uncommon for the bunny to be the boss though.
I have a dog and I introduced my first bunny Bam to her very slowly. Now she’s not a terrier, she’s a German Shepherd, and she was 3 years old and had had obedience-training, so it wasn’t hard. I let her know that the bunny was “mine”, he was NOT to be messed with. She responds very well to a “NO”. This helped a lot. She still wants to chase wild rabbits and cats outside, but she has absolutely understood that indoor bunnies are a whole different thing. She will steal the bunnies’ food though when I’m not looking. Not hay though, thankfully.
It is movement that triggers most dogs, though, so I’d be very cautious when introducing dog and bunny. If the bunny runs, the dog’s instincts may take over. You could gently hold the bunny and allow them to sniff each other. I think it is good to de-sensitize them to one another, they should know that the presence of the other pet is perfectly normal, it’s family, part of the “flock”.