Its fairly common to install a 7.5 to 8kW unit and zone it so that it will work in your living area OR your bedrooms at the flick of a switch. This is something to keep in mind, unless you need to cool the whole house at the same time you can get away with a slightly smaller unit and zone it accordingly. But without looking at your house its hard to make the call.What's the biggest ducted unit you can run on single phase power?
One online estimate came up with a 14.7kw external unit.
In regards to the power issue, obviously the ratings mentioned are heating and cooling capacity, not electrical energy used. Things you will need to know include, full load current draw of the airconditioning unit, size of existing consumers mains into your switchboard and an approximate of the existing load on the installation.
Just some things to consider, i know it wont help you much, but it would be really easy to determine what you need if you get a tradesman out to take a look for you and offer the appropriate advice.