Loved the report, hope to do similar with my boys when they grow up.
A must is the Opera House tour, it is an amazing building inside and out, even better see an Opera if you can. Bridge climb is really expensive, better bet is to do the South pylon climb
http://www.pylonlookout.com.au/Visitor_frs.htm
Also in Perth check out the Little Creatures Brewery
https://littlecreatures.com.au/