family-friendly restaurants near Rector/Manayunk, Smith Playhouse or Please Touch
In Riva is pizza, child friendly and not very far from Smith Playhouse.
The Centennial Cafe is right by PTM, you could walk there from the PTM but it's only open Wed-Sunday and for breakfast/lunch. Not the best food, but it's kid friendly.
You could go to Sabrina's, either the Callowhill location or the one by Drexel. Both are about equal distance from the PTM and Smith's and are kid friendly. Portions are huge.
If you're willing to trek to the Sabrina's by Drexel, then you might as well consider the new Shake Shack at 32nd & Chestnut.
Both Smith and PTM allow you to bring food, so you may want to consider packing a lunch. I know the PTM is hard to tear a young child away sometimes.
We've had good luck at the following places, though not in your target neighborhoods...
Jake's Sandwich Board - 12th and Sansom http://www.jakessandwichboard.com/)
(no kids menu and the sandwiches are huge, but they did take a special request at lunchtime to accommodate my picky 3yo
Schlesinger's deli - 15/16th and Locust - http://www.schlesingersdeli.com/
Bellini Grill (16th and Walnut/Locust) is kid-friendly, even at dinnertime on a Saturday night - though we did have to ask the waiter to pace our meal a bit faster than usual. http://www.bellinigrill.com/
Reading Terminal Market is a good way for everyone to get something different, but depending on the age/behavior of your kids, and the time of day you go, it might be a bit hectic. Saturday afternoons are nuts, I have trouble reining in one kid - I can't imagine four!
I used to recommend Jones (7th and Chestnut, I think) but we were disappointed with our last brunch there.
A side note - the cafeteria at the Please Touch Museum isn't bad. It's nothing to write home about, but it's fine.
I agree, it's a tough request. As others have said, nothing much around Smith Playground and Please Touch, as they are more or less in the middle of the park.
I concur with Han Dynasty in Manayunk. We've been there with our kids and I always see kids in there, though it takes a somewhat adventurous palate (my picky child likes the wonton soup and scallion pancake).
I haven't been, but my friends bring their kids to In Riva and love it.
Nothing within walking distance of Smith Playhouse and Please Touch Museum which are in Fairmount Park.
Nearby neighborhoods (Art Museum, Fairmount) have:
King of Tandoor
In Manayunk you might like:
Winnie's Le Bus
Han Dynasty (or any Asian restaurant)
Not ignoring you, but a lot of us probably never go anywhere that has kids. LOL, I can't remember the last time I ate in a restaurant that had a child in it.
A lot of good pizza places, so that maybe a place to start. Tacconelli's is legendary and very unique (although you have to call up in advance and reserve how may "doughs" you want, it's worth the trouble).
Help noya out here people...