It was some years back, but I seem to remember that your container cannot leave until you are in the country so there will be a two- three months delay for your stuff to arrive . This means you will be renting a house without furniture, bedding, plates, ... unless you are in an AirBnb
We bought some cheap furniture for the interim at ikea, bought essentials (vacuum, kettle, washing machine, ...) , which we then sold, gave away.
You need to be aware that airlines will prioritise business and first class tickets, because there is a limit to the number of passengers they can carry. It is a very common occurrence that they will dump economy class ticket holders it the chance to fly a more expensive tickets occur.
You also need to be aware that more than once, in case of a community transmission, some states have suspended international arrivals.
Houses are very cold. They don't have radiators, like we have in Europe. IF and it is a big IF, a house has some heating system is will be aircon or if you are lucky a gas bayonet to which you will attach a Rinnai heater .
I am on the northern Beaches and one morning as I was driving my son to a 7 am class, we had to scrap the ice from windshield. It happened only once and I remember my son asking what it was. We had to use his "L" sign to remove the ice. So it can get cold.
In winter it will be 5 or 6 in the morning, but because houses here are truly crap, the house will get very cold, very quickly.
Dental care is expensive, you need the private care for that.
Important: ambulance is NOT covered with medicare, but will be covered by private health, which you have to have to get a temporary visa. However, pregnancy will not be covered red because your have a delayed period for that .
When you enrol at the doctor, if you don't want to pay, it has to be a bulk billing doctor. Otherwise, many (the majority?) will charge you around 75-80$ for a short visit and medicare will pay you back $36.
Specialist visits, unless done inside an hospital and here the waiting list is quite long, will be very expensive, around 200-300 and medicare will cover around $70-80 depending on which speciality .
Exams and test such as imaging, again, sometimes free, sometimes (often) not.
For your everyday medical needs, just a GP, for a cough , aches and pains , healthcare system is fine. When you have more complex issues, it will become costly even with the top platinum diamond whatever private health.
Some people mortgage their house for cancer care or take loan for surgeries which are classified as elective even if you are unable to walk.
Rentals are very high and you need to prepare the 100 points ID. Here is an example of what constitutes 100 points. www.health.nsw.gov.au/art/Documents/100-point-id-check.pdf
You will need certified copies for several services.
Car. Depending where you live, you might need 2. So be very careful about transport around you.
Try to negotiate with the employer if they will cover some of the first year expenses.
Sydney is very big, and suburbs will vary. You can have very nice or very ugly.
It will be more expensive near the beach. The norther beaches have very poor public transport as there is no train. South Shore has more transport options.
The cheapest private will probably be Catholic I think.