I second the Ride Like a Pro video. I had the same problem when I got the bike as you do. I cut tennis balls in half for markers and practice at the local high school parking lot doing the slow cone weave. It made all the difference. Practice, practice, practice. Anyone can ride fast, slow riding is much harder.
One thing to remember is never hit the front brake with the bars turned-that will put you over to that side and you've have to put a foot down.