Now that he stays dry all day, Little Bunny wants to leave his diaper off at night. ``I'm not a baby,'' declares ``LB,'' and Mama, agreeing, adds, ``We can see what happens tonight. If your body is ready, then you'll stay dry.'' Still, LB wakes up ``cold, wet, and confused'' in the middle of a dream. Cheerfully, Mama changes his sheets, helps again the next night when he makes it almost to the bathroom, and comforts the discouraged bunny as months pass and he learns to ride a bike and outgrows two pairs of shoes. Dad helps too, by remembering that ``when I was about your age, I used to wet the bed.'' Finally, LB wakes up dry; and while Mama suggests a celebration she also wisely observes that they should ``take one day at a time.'' Sensible, exemplary, and nicely extended in appealingly expressive illustrations; ``A Note for Parents'' adds specifics about the prevalance of normal bed- wetting among preschoolers to the story's implicit advice for dealing with it. (Picture book. 4-6)