Hi Dani,
I am going through this now. IRD work on the amount of care you have of the children. I have been told that as I will be doing shared care (week on week off) I will get what I am entitled to, they told me the amount as to my income. CCS is worked out on your income too, and I will keep that due to the care I have of the kids and that my income with 2 children doesn't quite hit the limit.
Unsure of the living in the house together, i didn't ask that. We are at the moment but that is till I know what I want to do and what help I can get.
If you want to talk PM me, we are doing it at the same time I think.