UFO Slim Slag is right - when in Sydney get someone to fly you up the Bankstown Lane of Entry and around the Northern Beaches - and over the harbour - it's spectacular.
Can't help you myself as I'm now based in Perth, but I suggest putting a request on the Dunnunda and Godzone GA and Questions forum with your travel dates - I bet someone will be happy to "cost share" with you. Failing that, go to Bankstown and approach any of the flying schools. I trained at Schofields Flying Club - you could give them a call.
Definitely do the Bridge Climb - did it last month and despite my fear of heights it was just fantastic!
Have a good trip
RV6