the second lot of information is incorrect.

you have to register for ccb, but claim it at nil rate til end of year. given you are not currently receiving ftb, you may need to do this claim online
if you get ccb at nil rate (0%), you WILL get 50% of the bil paid each day, up to the max per year (7500 per kidlet).

you may have to pay the full bill the first week, and then get the credit from week one on the bill for week two, week two on week 3 etc - depends how the centre bill you

this thread has it all there, including links to the human services website, where you can see it all written down on official site to confirm it for yourself