We have seven dogs, and two cats, and did have two bunnies but now only Benji
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Benji grew up with the dogs when they were puppies and got along really well. Obviously they were completely supervised at all times.
I didn't let the cats near the bunnies, really. Very rarely. Purely because they practise their hunting instinct every day with mice and bats etc. and I can't risk it when they are so tuned up to swipe at a small creature running away.
I would always say: Bunny's home to be in a seperate room to where dogs/cats are allowed, so they can be in quiet and guaranteed safety when you are not there.
Here they are getting along
Basically: Make sure the NIC cage/cage has a top to it, and keep the bunny's home in a seperate room. Never leave them unsupervised with a dog or cat, no matter how docile the animal. Mine are all the gentlest little things, but I still would never risk it. For example: Alfie, our second eldest dog, the MOST laid back dog in the entire world. Built like a barrell, and all he wants is kisses. Will follow you round the floor, slowly waddling behind you to lick your bare feet. When you move, he just waddles behind and continues licking when he reaches you. He puts up with annnyytthinnggg. But when one of our dogs had a litter.....he hated the puppies and would snap at them if they came near him.
Very odd indeed but it just showed me that you never know how they will react.
Jen