I wish I could do that with my rabbits! But we are all highly allergic to them, and they would probably get lost or stepped on. Our house is far from rabbit-proof.
I have a Himalayan rabbit who is about 5 years old, and he doesn't seem to like being outdoors very much. Could it be because his red-colored eyes are more sensitive to light? I don't let him outside very often at all, but when I do, he just sits still and does nothing, or tries to go back indoors. And my other rabbit, a chinchilla Dutch, is rather skittish and nervous. Before we put a top on his enclosure, which is a dog exercise pen in the garage, he would jump out of it and hide.
Mine are kind of litter trained, but I still find poop in places where it shouldn't be, even in their food containers sometimes. The Dutch rabbit used to have a problem where he would get his pee on himself, and even now he doesn't always pee in the litter box.
Does anyone else have rabbits who do not like certain treats or toys? One of my rabbits will not eat apple & banana flavored treats, and neither of them like those toys that have blocks of wood and plastic rings and bells.