It's a difficult task to make a game like Chess approachable and interesting for children under the age of about 8 or 9. I think "Chess for Kids" does an admirable job with lots of colorful pictures, a good outline, and logical steps from total beginner to beginner Chess Player.
It seems to me that many Chess authors because of their high skill level (or else they wouldn't be writing a book, right?) are sometimes challenged when trying to keep everything on a beginner level. They'll put in "examples" or "tests" which are quite difficult, but probably seem simple to them. I didn't find that here, but rather a good mix of beginner and slightly challenging examples.
The one thing I felt could be improved on is the style & size of the tests. They are rather small, and the black & red contrasting pieces is not standard Black & White. I felt it made it harder to read than it had to be, and seemed like a non-standard approach.
But overall, I'd recommend this book to the beginner chess player. It's readable by an 8-year old, and can be used in conjunction with an adult for those kids picking up the game even younger.