I've had 2 female Bourkes for a while and I can agree they are great little pets! They are friendly and pretty quiet. They love to fly around my house and walk on the floor but they mostly hang out with me. Personality-wise, they are like toned-down Budgies - even more mellow than Cockatiels. They are not at all aggressive, don't bite or have any bad behavior that I have noticed - but they are not "cuddly type" parrots like Conures, Senegals, or Parrotlets. They are not the type of bird that likes to be petted or will roll over on their back etc. If you want that, Bourkes are not the right bird for you. If you can be happy with a mild-mannered bird that will sit quietly on your finger or shoulder, a Bourke will work for you.
I also have a Scarlet Chested or Splendid Parakeet. They are beautiful and also very quiet but a little slower to tame and bond with you. But the Splendid is a good companion bird for a Bourke because their personalities are similar but they are too unrelated to breed with them.
Here's a great Blog about Splendids and Bourkes:
http://thesplendidbourkebirdblog.blogspot.com/
Below are some photos of my birds... all were hand-fed as babies and now are fully-flighted.