A few other bleach facts to consider. Don't mix it with an ammonia based cleaner. It can lead to deadly fumes or even explosion. Rabbits' sense of smell is about 10 times greater than ours. So you can imagine how sensitive they are to it with their delicate respiratory system.
Bleach is very corrosive. Just ask your hands after using it! Wipe down surfaces, even metal surfaces with water as it can eat a hole through stainless steel.