QUOTE(chraze1 @ May 19 2012, 10:59 PM)
My daughter who is grade 3 (AB) on piano has been asking a lot over the last few months about learning to play clarinet. I wasn't sure if the phase would pass but she's definately not letting up on asking.
She's very diciplined about her piano practice and never needs to be asked to do it. She's a great sightreader and I would also like to ask, is there a particular book you would recommend bearing in mind her current playing/reading ability?
If she's asking a lot, then that's a very
good sign. Difficult to pin down a specific book, I don't know your daughter, but Paul Harris' Clarinet Basics is decent, as is Team Woodwind for clarinet.
Do you think it would be a good thing for her to begin on her own, or should she have a teacher from the word go?
Ideally, she'll have a teacher. If that's not immediately possible, ask the advice of a good clarinettist for guidance.
Are there bad habits she could form?
Watch for squeezing/gripping the clarinet, stiff or stooping posture, blowing, rather than breathing down the instrument, blown out cheeks, biting (especially with bottom teeth), using the breath rather than the tongue to articulate notes...
I've inadvertently removed the quote from you about price of clarinets, but by many instruments' standards, beginner clarinets are comparatively inexpensive : Buffet and Yamaha are the two big names, though Hanson are also very good. Might be worth looking at eBay (and I'm happy to help you there with advice if you find a Buffet B12 or Yamaha YCL250 that you like the look of), otherwise, for a new Buffet B12, you're probably looking at about 350-400 GBP.
My PM box is always open if you wish to ask further, in the meantime, all the best!