Welcome to the world of spinning!
I haven't spun angora before, so I can't really tell you specifically what it's like to work with or how its difficulty would compare to other fibers. I do know that different people find different fibers to be more or less difficult to work with. So, since you have a fiber rabbit, it would probably be fine to try spinning angora and see how it goes, and it would also be fine to start with a different fiber instead. There's going to be a bit of a learning curve either way, so it's really up to you what you want to do. I don't really feel like I can give you very good advice on if you should try starting out on angora or not since I don't know anything about how you personally learn best. (And I'm apparently a bit of an odd learner, so my advice might not be worth that much to you anyway.
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I wouldn't be scared by the staple length (the length of the fibers), though; you spin fibers with different staple lengths and different characteristics differently, but that doesn't necessarily mean that some staple lengths are more difficult to spin than others. It's more that you handle them differently, you spin them differently, what you're looking for, what it feels like, is different, so if you're trying to spin short fibers like you would long ones, or spin long fibers like you would short ones, you're going to have troubles. It takes a bit of time to give your hands and your eyes a chance to learn what to do with different fibers. So, there's always going to be an adjustment when working with new fibers, and a great opportunity to learn with each new fiber.
I've never heard of a distaff being used with angora before. I agree with Becky--you probably don't need it for angora. (Of course, after you've had some practice, you can feel free to try it out and tell us if you can get it to work.
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If I were you, I would choose a fiber (whether you decide you want to use your angora, or start out with a different fiber), and get or make yourself a spindle or get yourself a spinning wheel, without worrying too much about what is the best equipment for you to use, and just start spinning. Any fiber, as a general rule, can be spun with any spindle or spinning wheel, if you try hard enough--just, some fiber-tool combinations are going to be better than others (sometimes much better). But, it is pretty much possible (emphasis on the word "possible") to spin any fiber with whatever tools you've got. And so, while it's a good idea to research so that you can get a smooth start and get a tool that's a reasonably good fit for your fiber, it's more important to just start spinning. It's up to you how much research you want to do before just jumping into it (and may vary depending on how you learn), but when it comes down to it, the most important part is giving your hands, your fingers, a chance to learn what they're supposed to do.
People like you and me who got most of our introductory information about spinning online often find ourselves with our heads full of information on what the fibers are supposed to do, how they're supposed to behave, what we're supposed to do. But our hands have to learn all of that, too. I know that when I started spinning, it was kind of frustrating that my head knew what to do, but my hands didn't yet. My hands had to learn how to look for a stable yarn, how much more twist to put into it if I was going to ply it than if I wasn't, how to control the diameter of the yarn--how to make it even and structurally sound! There's a lot that you have to learn through actually spinning that you can't learn no matter how much research you do, even though research can give you a good push in the right direction and help you troubleshoot when something goes wrong.
One advantage of starting with spindles, is that when you start out, you aren't going to have a very clear idea of what tools are going to be the best fit for you, your fiber, and what yarns you want to spin with it. Most of us can buy or make ourselves a spindle much more economically than we could buy a spinning wheel. That would give you a chance for your hands and your fingers to learn the physics behind the yarn you're trying to spin, how your tool interacts with the fiber, and all those important things that could help you make more informed decisions if you decide to put more money into nicer tools later. But starting with a spinning wheel is a perfectly acceptable decision too--just make sure you research before you buy to hopefully find one that will work well for you and your fibers and the sorts of yarns you would like to spin.
Spinning on a spindle and spinning on a wheel use very related skills, but they are different processes, and some people prefer one over the other while other people are quite happy to use both.
So, all that long post to say, Choose a fiber, and choose a tool, and just start spinning!
Oh, and one note: I don't know if you ran into this in your research or not, but angora is a very warm fiber, much warmer than wool. For me personally, that means that when I get myself a fiber rabbit, I'm probably going to stick to spinning 100% angora at a laceweight or so, and blending it with another fiber if I want anything thicker than that. This will definitely vary depending on what you're wanting to do with your yarn, and what sort of weather you're wanting to wear the items you make in.
I do have a couple of Ravelry groups to recommend. (If you don't have a ravelry.com account, if I remember correctly from when I signed up, you have to request an invitation to the website, and wait for an invitation in your inbox, and then you can make your account. I've never heard of anyone having trouble getting an invitation--I expect it's more of a measure for preventing spam accounts than anything.)
There are a number of Ravelry groups that showed up when I searched for ones related to angora, but the only one I've looked at much is this one:
http://www.ravelry.com/groups/angora-rabbits
(I don't belong to that group, but follow a couple of their forum threads. I actually found RT through that group.
) They don't seem to have much information specific to spinning with angora (but may be able to help you out or point you towards other people who can help you with that). I don't know if any of the other angora-related groups have that sort of information or not.
If you would be interested in making your own spindle, I would recommend this group:
http://www.ravelry.com/groups/spindlecrafters
And especially their "Photos of your handmade spindles!" thread. It's really awesome to see some of the materials they've used to make their own spindles.
(I've made spindles out of tinker toys before--the little person objected until I made her one too.)
There's a number of other good Ravelry groups that are wonderful resources, too. Seriously, I think I learned as much about spinning through Ravelry as I have outside of Ravelry.
Anyway, I hope that helps (and that I didn't talk too long).
