Advise Me, Please

For five years now, since I read her The Spiderwick Chronicles, the Possum has been interested in fencing (lessons? classes? coaching? see, I don't even know what learning it is called). Before I sign her up for anything, I want any hints, tips, suggestions, etc. y'all have to offer. My knowledge of swordplay is limited to stage fighting. What does one look for in a fencing school? Is nine too young? I am totally ignorant, so feel free to enlighten me with whatever, or whomever, you know.

Thanks.