As a low time PPL you are always going to be up against not having the hours required or possibly the finances to get a type rating and with no hours its unlikely that someone will pay for it.
An option woth considering is to alongside your licence whatever that is JAA or ??? is to go for an FAA CPL Multi IR.
It is then relatively inexpensive to get an SIC type rating. That will allow you to market yourself at private jets where you can log and build turbine hours at probably low pay.
Once you have some turbine and jet experience logged you will become more attractive for a better position and then you can consider a full type rating?
With private jets a lot is to do with networking and getting yourself known.
Its a sorry state but as a low time pilot you need the experience and hours to be attractive but without those hours you are not attractive so how do you get the hours without investing a fortune to start with.
Not sure where you are intending to locate as you have New Zealand as your location or what nationality licences you are working to at present?
This is one option
pace