Go to the beach. This is a no-brainer really. The beaches are accessible by bike, there are no parking problems when you get there, you generally don’t have much stuff to carry, and if you are going to the beach, the weather must be fine for riding too.
Go to the playground. Islington Park is perfect for this, with bike tracks for adults and kids.Go to the fish markets. They are located along Throsby Creek and this modern porteur is perfect for carrying home loads of fresh fish.