SB 518 moves directly to the California Assembly
At any rate, Sen. Alan Lowenthal's office has informed me that SB 518, the parking reform bill passed by the California Senate last week, will probably be heard in the Assembly Transportation Committee in the late spring or early summer of this year.
In fact, SB 518 has already had its first reading in the Assembly. To read the proposed legislation in its latest, further watered-down language (though still very, very worthy of our support), look here.