Yazmin chewed on every toy box also until I got her two miniature Red Radio Flyer Wagons.
She has one for her inside toys and one on the back porch for the toys we fetch outside.
It's worked out great and they hold quite a few toys that she's able to get on her own.
Now if I could just teach her to put her toys away!
Amazon.com: Radio Flyer Little Red Wagon: Toys &...