Stick and Stone is the closest spinning store to where I live in Hollywood. I bought my wheel there (Ashford Traveller) and have been hanging out on weekends to get better. The owner is also a chemist and does amazing things with naturally dyed fiber. She drum cards her fibers into these amazing batts. She also sells the dyes, dye assists and mordants online: http://www.stick-and-stone.com
The website doesn't show up near the top of any search for spinning shops in the Los Angeles area because they have been open for only a year, but it's on Sepulveda in Van Nuys.