Hey! There are lots of places for kids to enjoy - there's NutriMusic (near Four Seasons Hotel), Scribbles which teaches kids arts & crafts (Swefieh), KidsMania Entertainment Center (Um Uthaina), Kids Jordan Club (Abdoun). There are also lots of play areas - there's one in City Mall, one in Swefieh Mall, there's Jungle Bungle (all time favorite), and one in Mecca mall.
Hope this helps!
If you're interested, I have a blog about raising kids that u might enjoy: kidslive.wordpress.com.