If you are staying in Parramatta you have a thirty minute headstart to the Blue Mountains over those staying in the city.
Within easy reach of Parramatta,
Cumberland State Forest (http://www.dpi.nsw.gov.au...) is an urban forest located at 95 Castle Hill Road Pennant Hills.
Koala Park Sanctuary (http://www.koalaparksanct...) has displays of koalas and other Australian animals