Converting Aussie CPL to work in the UK

[Zulu_One]

Hello all,
Just wondering if anyone has either done this and/or can provide any information.

I have an Australian CPL with around 300 hrs TT flying light singles for an outback Charter company.

I also have UK dual citizenship and passport, and want to move to the UK/England after I build up some more hours to work as a pilot there. So I want to convert my licence and also want to know if I should get my frozen ATPL here or over there ... I am mainly concerned with costs and also procedures involved in converting over ...

Any information appreciated

Cheers

Z1