For the store directory, check http://www.westsidepavilion.com/directory.asp.
This mall located in west Los Angeles is very child friendly. They have a play area in the food court that is good for small children. The food court is located on the 3rd floor near children stores so that is also convenience. Also the Nordstroms has a cafe that has a decent children's menu also.
This is a very Los Angeles mall, with more than 180 shops, restaurants, and movie theaters.