I LOVE the LA Fashion District! They have great prices and stores for all ages. I would recommend going during the week because its extremely hard to find parking on the weekends. If you decide to go during the week, try to use the smallest stroller. It gets very busy and very crowded!
This fashion district (The Alley) is a shoppers dream come true, they have severl different district set up together based on the street. Before I had my daughter we visited the baby district and I loaded up on some of the best deals! They have whole sale shopping here and if you go on the weekend you can usually get the best deals . There is great shopping for men here as well - My husband love it!
Parking can be up to $15 but the savings is well worth it. If you have come to LA to shop, stop here first! There are tons of food places and yummy things to eat, the only down side is there are not very many places to take a potty break so be prepared to work those stops into your route.