Rabbits are a lot of work. They need a large space and plenty of excercise. They aren’t usually cuddly animals and I do not recommend them for children. Shelters are over run as it is. Do not crowd them more because you didn’t do crucial research. It is not fair to the bunny at all. An animal is not a toy to be thrown on a shelf when you are “bored” be a responsible owner and do not get any animal on a whim.
Don’t stop looking, you’re one step closer. Don’t stop searching, it’s not over. Hold on.