This is a subject close to my heart, I have 5 bunnies, the 2 males are desexed and the rest are girls.
I have a different situation that mine are all free range so have plenty of space to run.
My bunnies and chooks get on very very well together and my male "anekin" plays with the rooster by running around him in circles, i call it ring a ring a rosie. Can you put in a box that your bunnies could jump up onto to get off the wire.
They love to get up on things!! though they can jump very high if they want to.
My bunnies only eat the chook pellets/mix if I let their bunny food bowl go empty for too long.
I might add that my 2 mallard ducks follow the bunnies around the garden as they like the taste of their poo. Must be high in nitrates!!/protein!!
Helen