Your parents are manipulative bastards! It's blindingly obvious that lazy people do not take a second job, but I'm guessing that calling you 'lazy' is a tool they use to manipulate you into proving you're not lazy by e.g. parenting your younger siblings so they don't have to actually parent themselves. Bastards.
I know you've given scant details here, but they've set my alarm bells ringing. Absolutely DO NOT GIVE YOUR PARENTS YOUR BANK DETAILS. In fact, if they know anything about your banking, have ever so much as seen a statement or passbook, I'd be inclined to open a new account at a different bank. Banks are usually falling over themselves to open accounts for new university students so this should be easy to do. A new banks account, at your current address, would have no connection to your parents' address - so no chance of any letters/statements/cards going astray to them.
"I just want to save up as much money as I can before I start uni next year bc my parents aren't going to help me and I won't get much in loans bc their income is high."
As* *@Bollindger suggested -
"You can sign so form and say your independent of your parents income, and get more loans if need be. My friend had to do this as her parents refused to help her"
Contact your university for help about that.
"I just go to my parents in the morning to get the kids ready for school and take them to school and then I'll pick then up and walk them a home after before my next shift"
And what are your parents doing at these times? Honestly, I don't see your parents letting you out of their claws - you're far too useful to them as a skivvy! You need to protect yourself from them. Give them no information that they can use against you, give them no access to your life - and don't look back. Move forward with your life, which will be much happier without this toxic pair sucking you dry.