I know that this isn't what you want to hear, but you'd be better off waiting until your current bunny is fixed and then doing "bunny dating" to find another rabbit so that you don't end up stuck with two rabbits that don't get along.
We are as gods to the beasts of the fields. We order the time o' their birth and the time o' their death. Between times, we ha' a duty. - Terry Pratchett.
"Men have forgotten this truth", said the fox, "But you must not forget it. You become responsible, forever, for what you have tamed. - Antoine de Saint-Exupéry