STOP!! Book this place immediately! You wont find anything better!
Everything described is met perfectly and in fact, trumped. The place is gorgeous, communication with Christian couldn't be better and the location has everything you could want: Beach, cafes and shopping near by. We spent three weeks with a ten month old and it couldn't have been more perfect. Christian and his Family even went out and bought a crib and changing pad for us, which made our life even easier. Also with a child you are especially sensitive to cleanliness, which was exceptional. Perhaps the best we've encountered in an Airbnb place. In addition to all that, this is a family's holiday home, not one of those sparsely outfitted rental places - you've got everything you could need/want here and premium at that.
If we get a chance to return to Coogee, we wouldn't want to stay anywhere else.
Special thanks to Christian and his family.