I'm staying at my mother-in-laws unit in Sydney that she keeps for when the family visit the big smoke.
It is located in Wycombe Rd, Neutral Bay, so is fairly central as far as Sydney is concerned. It's about an hour to the Reptile Park and about 5-10 minutes to Taronga Park. Manly takes about 25 mins depending on traffic. Bus from Wynyard to the top of my
street takes 15 mins, ferry to bottom of street about 25 mins (but its amongrel of a hill!).
McDonalds is just up the road (24 hour version) and many excellent restaurants and eateries are nearby.
Could be a good kick off point for daily activities (especially on Friday and Saturday)
Also, don't cancel the stripper!