First off, good for you for taking some proactive steps to be prepared.

My answer is to have both. You definitely want the book since it will have a full range of injuries/illnesses covered, and that should be with your FAK or home medicine chest.

But some situations may be either more likely or require faster response, and those pages you might want to put in your binder for faster access (I'm assuming that the binder will put someplace easily accessible). Things like the CPR protocol or what to do when your child has a really bad asthma attack, how to recognize and what to do for a suspected heart attack, stroke, etc.