Hey,
so I started tutoring at $25 an hour which my coursemates informed me was too low & that I should be charging more. Partway through I swapped to $30 an hour for new students. It's worth considering that students from different places might consider it normal to pay $x amount depending on the demographics of their area/school. Some tuition websites set a minimum rate, so that's something to be aware of if you choose to go through them
In terms of advertising, some people go to high traffic VCE groups, some add "offering tutoring" to their signature on atarnotes and/or make a post in the appropriate section of the forums, some use tutoring websites, some make LinkedIn accounts (very unlikely to have parents contact through this but some tuition companies look for employees through there)...
I personally just adjusted my signature and would message people on Facebook when they made a "looking for ____ tutor" post.
You also might be able to find things on your uni's "jobs for students" sections.
When accepting jobs, keep in mind the amount of travel you'll be undertaking to reach them & how much time this'll cost you.
Hope this helps!