Padaro opens at 11 and serves lunch and dinner outside on a huge lawn. They are totally kid-proof, with a fence around the property, and even have a huge sandbox with toys. The food is so-so at best, and expensive for what it is, but it is absolutely worth every penny to eat lunch or dinner in peace while your kid has the time of her life.
The Garden Market has incredible food. It's my favorite lunch spot, and although it does not offer a sand box or rolling hills of well-trimmed grass, there are fountains everywhere and shady outdoor seating, which was enough to entertain Isla for about an hour today when we met her godmother for lunch. If someone could combine the two it would be perfection.