Play two simple trust games. Parents and children participate.
In game #1, set a small obstacle course in the living room (like a maze with pillows and other soft objects). Parents will blindfold one child at a time and guide him or her through the maze. Parents can do this by holding the child’s hand or by using their voices or both. For smaller children, I would use both. If you don’t want to do the maze, then make it simpler. Blindfold the child and give him a cup. Guide him to the table where he can safely place the cup on top of it.
In game #2, play the typical “trust game” where the child stands about 2 feet from the parent (front to back). The child then lets go and “falls” backward. The parent catches her by the armpits. The first few times, the child will probably want to step back to “catch” herself, but the point is to trust that the parent will catch her and keep her from falling.