Just saw this and I had to look you up. If you ever need German Shepherd fur I have a few. My fluffy girl is the one with the most fur that comes off when she sheds it out. After she blows it ( a few months ago when it was very hot) she looks naked. Then the cooler weather comes and it fills out again and is her gorgeous fluffy-self.
Both cat and rabbit hair can be spun, if they are long enough. We do not specialize in either fiber. I would recommend you find someone who does. Best of luck to you, I do not have any recommendations and have heard no feedback on any specific providers.