Hi Maria
Welcome to Poms in Oz.
Have you investigated whether or not the NSW Department of Education will permit you to home-school your children? If not, I would suggest that you contact them and make sure you know what their stance will be.
If they insist on the children going to a conventional school, the next step might be to investigate the School of the Air, but that is intended for children in rural outposts and although it is more a correspondence course than anything else, it may not be possible to enrol for it if you live in an urban area with schools.
I've also heard that it is allegedly no use for secondary education anyway, but that is just what an Australian lady living in a remote roadhouse in WA told me when we stopped there for coffee etc. I just accepted her opinion because educating her children was none of my business.
Additionally, most new migrants to Oz find that attending a regular school helps the children to make new friends quickly, meaning that the children often settle faster than their parents do, which helps the children and relieves the stress on their parents.
If you are going on a 457 visa, the Dept of Ed in NSW may not be worried about how your children are educated for as long as they are only temporary residents. But presumably you would want to upgrade to
PR at some stage? If so, then I would check whether they would be equally content for Permanent Resident childen to be home schooled.
Finally, which curriculum would you propose to teach them? The Australian one or the UK one? There are quite significant differences between the two, but the NSW Dept of Ed should be able to provide details for you to examine, I would think.
Best wishes
Gill