Check out the Baermann Third Division , which has superb scale exercise materials . Free on IMSLP . org as a download , or purchase the Carl Fischer edition from Amazon . I ' d recommend trying out several mouthpieces to see what suits your playingstyle and personal preferences . I ' m sorry , but forcing everyone to play the same clarinet mouthpiece is stupidity of the highest order . Do they force every brass player to use the same exact mouthpiece ? ? Obviously there are the Vandoren options , the M 13 , M 15 , M 30 , BD 5 , CL 4 , CL 5 , CL 6 , etc . In the same price range , check out D ' Addario Reserve X 0 , X 5 , X 10 , as well as the Clark Fobes Nova CF . Don ' t waste money on excessive , fancy , ligatures . A standard Rovner or inverted Bonade are $ 20 or less and will do the job well . Wrist straps are helpful , try a few different ones to see which suits your needs . My students needing support for their wrists have found success with the DEG Claricord and the D ' Addario Rico Neck Strap . Alternatively , there is a support peg product , the BHOB from RDG woodwinds , which is remarkably effective !