We just got back from 3 nights/4 days in Joanna's great little apartment in Double Bay. The location was very convenient. We could fit our car in off the street and use it when we needed but walked or used public transport to Kings Cross, City, Marrickville, Potts Point, etc.
The apartment is on the 'other' side of New South Head Rd but barely 2 mins from the Double Bay Village and a wide range of restaurants from very cheap and yummy to very exclusive... Ditto the shopping. We had some lovely walks up Manning Rd and into Coopers Park.
The flat was very comfortable, cosy, cute and clean.
We'll book again when we need to be in Sydney.