We were there for three nights in February last year, staying in the Shangri-La hotel in The Rocks area, great room with a view of the bridge and opera house. We managed to fit in a day trip with http://www.bluediamondtours.net which included a visit to the Featherdale wildlife park, trip to the Blue Mountains and trip back on the Parramatta ferry. Ask for Alena. Bondi is easy by bus from Circular Quay, buy your tickets at a kiosk. We also did a couple of harbour tours. I would also have liked to have gone to Manly beach and perhaps have had a meal at Doyles
http://www.doyles.com.au