Poodles prey drive is usually rather high and shows itself as a need to chase, especially as puppies. I suggest crate training your new pup as it should be done to aid in anxious behavior (whining when you are not in the same room), but also to help keep everyone happy and safe while the animals are home alone. The pup wont be able to (accidentally) terrorize the bunnies while theyre caged, likewise your bunnies cannot (accidentally) terrorize your pup
The first overall step to get everyone cohabiting is dog obedience training. He must be trained on and off a leash. This may take several months depending on the pups personality, but dont be discouraged. While working on training, keep your set up with both caged at night/when you are not around, and make sure your bunnies have a lot of hiding spots the dog cant reach/fit into
Once your pup is trained well and listens, the next step would be letting him around the bunnies while he is leashed and they are free roam. If he starts to act out, tell him to sit/lay down. If the buns start to get nervous, give them extra attention. Once this goes well where everyone is mostly comfortable, do this without the leash as well. Once he understands the bunnies are friends, not toys, then you should be ok leave them all out unsupervised together