Centenial Garden is close to Kensington. I used to love riding my bike round there - I'm pretty sure that you can hire bikes from somewhere nearby or horses from the stables if you're into riding. You're not to far from Bondi Junction in Kensington (there are buses between them) and there is some good shopping there. A bit further and you're at the beaches - Bronte is my favourite of the beaches but they're all nice.