Welcome to the forums and thanks for your post.
So it sounds like your main question is about what to expect money wise when moving out of home - is that right? It sounds like living with your Dad is still a safe space (you are financially supported by him and he isn't violent/makes you feel unsafe) so it's good to know that that can always be a home base for you.
I think it might be helpful to start having a look at what it might be like to move out - a lot of the prices for things can be found on the internet, including rental properties. They'll often include things like housing bonds (an upfront payment), whether any utilities are included and whether the property is furnished or not.
Here's a general website that has some things to consider: https://www.moneysmart.gov.au/life-events-and-you/under-25s/moving-out-of-home
If this is sounding a bit too pricey, you might want to consider having a roommate or looking to see if you're eligible for any Centrelink benefits. It sounds like you'll fit the criteria for Youth Allowance given that you're 16-24 and doing an apprenticeship.
Hope this is helpful! It's definitely more practical kind of advice but I'm kind of guessing this is what you're after.