Congrats on the placement, Lillefot!
Anyway, what kind of bow is good for a first-timer like me? What are the advantages of a compound bow and a recurve bow? And do you think I can learn on my own or do I have to take a class?
Speaking of classes, I've managed to find a Japanese archery school 60-70 miles from where I live. If I have to live in Tucson, then I might be able to check it out.
Well, as you might know, you get more precision with a compound bow (I used this kind of bows).
It has a scope, a balance pole and are smaler. Some of them are heavy though, so you better train that arm of yours!

You can stand further away from the target.
A compound bow has a special "lock". Which means that it might be heavy to pull the strain, but once you pull it enough, reaching this lock, it will become MUCH lighter, and you can stand with a pulled strain for quite the time, giving you more time to aim.
There's more work with a compound bow though. You have to adjust it well to your needs. A to big/small/heavy bow will make the shooting terrible, so make sure you get some help with this. trust me, I had one of this kind, and my shooting got horrible.
A recurve bow is a lot easier to use, there are some with scopes and balance poles aswell ofcourse. They are lighter. I haven't used them so much so I can't really say.
I don't think you learn compound, or even recurve for that matter, by yourself.
I wiuld recommend you to take some classes. And start with borrowing the different bows and try them, to see which you like the best.
Should you have any more questions, I'd glady answer them for you.

Best of luck!