It is nice to hear some of the advice here, because I also have a blind bunny. His name is Bucky. He had one eye removed and is blind in the other eye. We adopted him like this, so I don't know why he is blind. My guy can hear, so he is startled at times, but he is very brave. We keep him in our living area and don't move anything out of place, so he can feel free to roam and play. I do add and move around some phonebooks and toys to keep things interesting for him though and give him new things to do. He feels very safe and comfortable. Our bunnies have a critter castle, and it is so funny that Bucky will jump out of the second story window, yet our sighted bunny, Binky, will not. We approach Bucky carefully and talk to him before touching the top of his head first to pet him. He is always very actively investigating his surroundings. One thing I found that he really likes to play with is the bottom half of a large gift box, like from Sears, lined with tissue paper on the bottom, with the paper sticking out of the sides and an old really flat bed pillow on top. He is a digger of towels and really likes getting on top of the pillow and digging at it and fluffing it and tearing at the paper he finds sticking out all around the pillow. He also tosses around his slinky and detergent lid, but mostly he is in love with his beddy and loves to curl up and go to sleep in it. Once we bought him a bigger, fluffier bed and he really preferred the smaller one, so we went back to that. In the common area, I put the new big bed for either of our boys to use. Mostly, our little guy, Binky, likes to get under it and chew at it. It is funny to see the moving bed bouncing all over the floor seemingly by itself.
I can't figure out how to put Bucky's picture on here or I would.