Rockyhill, I don't have any experience with angoras, but am a spinner and am planning on getting some in the coming year. I've just done a lot of research, reading online mostly (including ALL 25 pages of this forum!

) and am still learning, so if someone with experience disagrees with what I'm about to tell you, please believe them instead of me.
There are four breeds recognized by the ARBA ~ French, Satin, English and Giant. Another breed, German, isn't recognized yet.
The English angora is the one that looks like a puff ball without a head, like a stuffed animal instead of a REAL rabbit for sure!

They are the softest, supposedly, but take the most care. This is the smallest of the three breeds and comes in many colors.
The French and Satin angoras are actually almost the same rabbit with the exception of the shiny hair of the Satin ~ Satins being a cross of a French and a regular short-haired Satin rabbit to introduce the sheen to the hair of the French angora. These rabbits have long hair on their bodies, but their heads, ears and feet have shorter hair. I would think this alone would make them much easier to care for than the English. They come in many colors.
Germans and Giants are similar like the French and Satins ~ Giants being a German crossed with other types of rabbits (if I remember right, the woman who did this was aiming to get a bigger rabbit that produced more wool). The differences are better explained on this site: http://iagarb.spinnersflock.com/germangiant.html These are the biggest of the angora rabbits, but take the least care. If I read right, these rabbits don't shed, so need to be sheared to harvest the wool. Mostly they come in white only (purebreds), but are being hybridized for colors so you'll probably find a lot of pet-quality colored Giant and German hybrids.
What I've also found is that the different breeds of angora rabbits have different amounts of grooming needs, with the English being by far the one that needs the most ~ once a day or every other day to keep the matts at bay. English angoras also have hair EVERYWHERE, including the face and feet (if I remember right), so for obvious reasons are harder to keep clean and matt free. The Giants and Germans seem to need the least grooming care ~ once a month minimum, more to keep the rabbit tame and handleable is better. Most of what I've found says that the English angoras are best groomed by blowing their coat with a hair dryer set on cool, working the matts out that way. The Giants and Germans seem to do okay with brushing their coat with one of those dog combs, the metal ones with the loooong teeth. I can't remember if the French and Satin angoras need as much care as the English, but I think they fall somewhere in between the two examples above.
They seem to be much more prone to wool block and the more you groom them to remove loose hairs the less you'll have problems with it. I don't know if short haired rabbits get wool block so don't know if you're familiar with it, but if you aren't, you would do well to read up on it a lot. Atleast half of he angora sites I've seen have some sort of link to information on it, so it seems it comes up a lot with angoras.
The other main difference, from what I've been reading, between angoras and standard short-haired rabbit breeds is that that long coat makes them much more sensitive to the heat. This has been stressed so much on the sites I've been reading that I've talked DH out of his extra storage shed and window a/c unit. Actually, I've showed him pictures of the adorable things enough that he's apparently looking forward to them himself ~ is starting to talk about building me a brand new "Hare Hilton" complete with bigger window unit.

I don't know if all that will be needed, but it does get awful hot here in Texas! And I sure would hate to have severely uncomfortable rabbits, or worse ~ dead ones.
So, where to get them? Here's the member links page of the National Angora Rabbit Breeders:
http://narbc.tripod.com/memberlinks.htm
And here's the Angora Rabbit Guidebook:
http://www.angorarabbit.com/angora-guide/index.htm
And the Angora Rabbit Online Techincal Manual:
http://www.angorarabbit.com/angora-rabbit-manual/