This is such a sweet little quilt that will surely put a smile on some child's face.
For children's quilts I have started doing a machine-sewn binding with flange. The contrasting flange adds a fun pop of color ... I love to use striped fabric whenever I can. Plus a binding that is all done by machine is very strong, stands up well to the "use & abuse" that only a child can give to a quilt. And the best part for me is no poked fingers. There is a great tutorial on the web, if you search
Aunt Marti's 52 Quilts - Susie's Magic Binding Tutorial/Video