Disney is a fantastic cruise line for kids, IMO. Not bad at all for adults either.
Of course it helps if you enjoy Disney stuff, as the characters are around onboard ship and on the Disney private island (which is one of the best private islands, and to my knowledge is still the only one with its own dock, so you don't have to tender.) Shows are excellent quality, all Disney-themed. Food is good, with lots of menu choices for little tykes, such as hot dogs, grilled cheese, PB&J, etc., if they're fussy eaters. One of my favorite aspects of this line is that you rotate between the restaurants, with your wait staff rotating with you. Each restaurant has a different menu and a different theme, and one in particular (Artist's Palette) includes its very own "show" as dinner progresses. We thought this cruise line was worth the extra cost (over the "mainstream" cruise lines) and we don't even have kids!