I've asked that question myself: What does it mean to turn my will and my life over to the care of God? And how do I do that?
So the first time I asked this, someone told me to follow the instructions, work the steps, and trust others with my recovery. That is my action in turning it over. Pretty simple, yet not easy, but possible.
Today, turning it over to me means more than turning over my problems to God or the things I can't seem to handle. Not seeing God as my waste basket. But it means to me to turn everything over: my problems, my fears, my happiness, my joys, the way I am, the way I act, ALL OF IT, because all of it is my will and my life.