I am going on a conference in February to Canberra (from Budapest, Hungary). I have the chance to spend in total 9 days in Australia, 3 before the conf, 2 in Canberra on the conf and 4 after the conf. I thought that on one way I could go to Sydney and the other to Melbourne (most flight options go through these cities anyway).
I would be really interested to see some nature, e.g. the ocean and cold temperature rain forests of Victoria. I probably cannot afford renting a car, so I need to figure out where I have the better options to see natural sights without a car.
Could you help to decide? In specific
1. Do you think it is worth visiting both Sydney and Melbourne in such a short visit? If not, then, which one would you suggest?
2. Can you recommend places to visit without a car?
3. How should I allocate my days for these 3 cities + surrounding areas?