BABYCAKES NYC Now in LA! These gluten-free goodies have been exclusive to New York until now! BABYCAKES Los Angeles 130 East 6th Street (between S. Main Street and S. Los Angeles Street) (213) 623-5555 If you enjoyed this post, make sure you subscribe to my RSS feed! By buzzhype buzz. hype. could it be simpler? View all of buzzhype's posts.