I've been to Boscobel. The food was good (on par with Sandals) and there were a lot of kids activities throughout the day. It had a Sesame Street theme when we were there (~6 years ago). We didn't have kids but didn't find it annoying. It was pretty windy and not super warm when we were there so I can't remember what the beach was like... The pools were fine though.
That being said, it's expensive compared to other AI's in Jamaica and I think you could have just as good of a time at, say the Riu with kids.