Amsterdam and the Hague: Restaurant and Sight-Seeing Recommendations Gratefully Received!

In Amsterdam, we'll be staying in the city center, roughly equi-distant between the Centraal Station and the Nieuwe Kerk.  In The Hague, we're just a few blocks from the Peace Palace.  I'll be travelling with kids, so restaurants in either place that welcome children (10+) will be welcome.  In Amsterdam, we already plan on the Van Gogh Museum and the Anne Frank House; in the Hague, I'm sure we'll get to the Escher Museum and the Peace Palace.  But we'd welcome guidance on what's fun to do and where's good to eat.  Many thanks.