Places to stay in Sydney CBD

Hi all,
Heading to Sydney over Xmas and will be spending the first couple of days at my Bro in laws way out west but was looking for a place to stay right in the heart of Sydney for our last couple of days so we can show the kids the harbor, bridge, etc.
Anyone have recommendations?
A nice apartment style would be ideal.
Even though we can get harbor side "seats" for the NYE Fireworks we'll be heading home before that as we'll be heading OS a couple of weeks later so dont want to spend a mint.
Heading to Sydney over Xmas and will be spending the first couple of days at my Bro in laws way out west but was looking for a place to stay right in the heart of Sydney for our last couple of days so we can show the kids the harbor, bridge, etc.
Anyone have recommendations?
A nice apartment style would be ideal.
Even though we can get harbor side "seats" for the NYE Fireworks we'll be heading home before that as we'll be heading OS a couple of weeks later so dont want to spend a mint.