If you feel the urge to splurge, Shopping Ibirapuera is the place to go. Clothes, souvenirs and general supplies — there's a good chance you'll find it here.
You'll need to make your way to Moema to visit this shopper's paradise. If you intend to do some sightseeing after you're done, why not stop by Paulista Museum? It's within reach of Shopping Ibirapuera.