A single to three phase conversion is several jobs wearing one name. On the network side, the service conductors from the pole or the pit have to be replaced with three phase and reconnected, which is contestable work carried out by an Accredited Service Provider rather than by any electrician. Level 2 covers the service work: disconnection and reconnection, overhead and underground service conductors, and energising the network operator's equipment.
On your side, the consumer mains from the point of attachment to the switchboard have to be replaced, and the switchboard itself has to be able to accept three phase, with a main switch and busbar rated for it. Older boards frequently cannot, which quietly turns the job into a switchboard upgrade as well. The single phase meter is replaced with a polyphase meter, and since metering became contestable that meter belongs to whoever your retailer appoints as metering coordinator rather than to the network. There is no published price for that swap in New South Wales either.
Then there is the variable that decides everything, and it is entirely outside your property: whether three phase actually runs past you. If the low voltage mains in the street carry all three phases and one is spare, the work is contained. If they do not, extending or augmenting the street mains is Level 1 construction work, involving design, possibly poles or trenching, and it is a different order of cost and time.
So when a page tells you a three phase upgrade in Sydney costs a specific figure, it is describing a job it has not looked at. The most quasi-independent datapoint we could find was an industry publication noting quotes ranging from $60 to $600,000 depending on circumstances, which is really a way of saying the range is unbounded. What determines your number is the distance, whether the service is overhead or underground, the state of your board, and what is in the street. All four are visible in about twenty minutes on site, and none of them is visible from here.
The related question is whether you need the whole conversion at all. A great many jobs that get quoted as "we need three phase" are really about running out of capacity on the supply you have, and the answer is a bigger single phase service or a properly sized set of consumer mains. That is worth establishing before anybody prices the larger job.