I had a big albino rabbit called Rambo when I was in my teens. He was quite big.
Many years later, when I bought my first house, I got 2 cats from the rescue centre. I can't imagine that they would have got on at all well with such a big, boisterous rabbit.
I am chuckling t the thought of your rabbit following the cat around all day. Cats tend to have quite a dismissive look at the best of times.