Hi there!
I live just outside Philly in Ardmore (Haverford Township) which is nice neighborhood for families! We also have great schools. Mt.Airy is also an area that's very kid/family friendly.
Here's some fun ideas-
The Please Touch Museum
https://tickets.pleasetouchmuseum.org/Smith Playground
http://smithkidsplayplace.org/Academy of Natural Science
http://www.ansp.org/Kid friendly places to eat-
I don't eat in Center City often because with two kids (ages 6 and 10 months) can be a challenge! We do like going to Blackbird Pizzeria though since there's a park right across the street!
Singapore Chinese and Harmony are both kind to children.
You can go to the Franklin Fountain and get a vegan ice cream cone with the kids!
http://www.franklinfountain.com/Hope these tips help! Good luck.