Perfect location for getting into the city easily via public transport. Double Bay is a lovely suburb with plenty of restaurants and shops if you don't want to go into town. Excellent bus service also to get to Bondi and to the Central Pier for ferries to Manly.
A very comfortable garden apartment with everything you need if you want to eat in and a lovely courtyard to sit in particularly at night to see the stars and the flying foxes. we loved it there. It is a bit of a steep climb into the house which was fine for us (in our 60's) but may be difficult if there are mobility problems. Judy is a perfect host.