I love parrots! I am so jealous of you guys. :) I am getting a cockatiel in a few years.
When we lived further north, we were in a bird sanctuary, and all the cockatoos (mostly sulfur crested, but some black) and rainbow lorikeets would flood over the balcony. They were pretty tame, and once they learnt we were a good source of food we've have bird visitors all the time. :) We had special ones that would always claim the best places on our arms/heads/shoulders/whereever. Mine was an older one called Choker who was pretty aggressive to other lorikeets and to everyone except me. He used to let me stroke his soft fluffy chest. My sister had one called Vanilla which loved to have his back stroked.
I kind of miss living there. I'll see if I can find a picture of the rainbow hordes.