So wonderful to see a rescue rabbit in a good and loving homes.

But please move your bunny off the wire floor as shown in the pictures with the babies.

From the House Rabbit Society Page regarding appropriate housing:
http://www.rabbit.org/faq/sections/housing.html#wire

Rabbits were not designed to live on wire floors--they're hard on their feet (which have no pads on the, like cats or dogs). If you must use a cage with a wire floor, you need to provide your rabbit with a resting board or rug for her to sit on, otherwise she will spend all of her time in her litterbox.

You can find cages with slatted plastic floors, which are more comfortable, or you can use a solid floor. As long as your rabbit has a litterbox in the corner that he chooses as his bathroom, there shouldn't be much of a mess to clean up.