We are planning a family trip to Australia around Christmas 2013. We have Sydney on our list and also Cairns to visit the Great Barrier Reef and also Uluru. The trip is for about ten days and we don't want to include too much on our list. We've estimated about 3 nights in Sydney, 3 nights in Cairns which leaves us about 2 nights for Uluru and a night in Sydney for our return flight out. That should give us a feel for the urban/coastal and outback Australian experience. Any advice on our plan (what we should add to or subtract or substitute) and how we flesh it out would be appreciated.