Are there one or more play areas? Yes, tons! There are at least 3 playground-style play areas in the main terminal, and another fun "ball-pit" style one in terminal 2, and another enclosed play area in the relaxation and massage area on the 4th floor.
Is there one in every terminal, after passport control? yes, more than one!
Is the play area conveniently located? absolutely, you never have to walk far to get to one.
Is there information about the play areas available online? yes, but it's difficult to find. This could use some improvement.
Are maps clearly labeled to make finding the play areas easy? yes, they have a little nursery symbol (bottle) and a play symbol (teddy bear)
Are there one or more nursing areas? yes
No television sets hyping up the kids, and the play areas have never been crowded. Nice added bonus: one of the duty free shops has a good saltwater aquarium (it goes along with a makeup line)-- also a good diversion. We now head out to the airport hours early, because we know the kids will be entertained and have plenty of opportunity to wear themselves out before we take off. More pictures below...
More pictures of the "ball pit" style area in Terminal 2: