Childlike Faith: Take a Leap

Several weeks ago, my family took a weekend and drove down to Atlanta to take in a Braves game and see some friends and family. One evening, we took the kids down to play in the hotel pool. If your kids are anything like mine, they love to be in the water.
This pool was like most. It was three feet at one end and went down to about five or six at the other. My children stand just over and just under three feet tall. In other words, the water would be over their heads. And they don't know how to swim yet. I got in and took them out, one at a time, so they could feel the water from the safety of my arms. Then, I coaxed my daughter up onto the side of the pool and told her to jump into my arms. After only a moment of hesitation, she did. And, of course, I caught her. Soon, after, my son wanted to join in on this new fun game. The problem was, he didn't want to wait until I was back in position before he jumped. He just trusted me to be there no matter when he took the leap. My husband kept him safe, so we didn't have any moments of panic, but it definitely got me thinking.
My almost two-year-old trusted me implicitly to keep him safe. He had no problems with jumping off the side because he knew I was going to catch him. Do we act the same with our Heavenly Father? I don't mean in the swimming pool, but with our lives. As we make decisions and talk to people, do we trust God to be there to help us, to keep us safe? When do we stop? I know I need to work on it some more. How about you? Got any tips for finding that childlike faith again and being able to trust God implicitly? What keeps you from staying up at night worrying?