100% agree. Every year here we see kids who get into a school they want to attend and their parents are shocked by the price. This is a conversation you need to have now. And it needs to be specific. Your parents need to understand the costs of these schools and they need to state whether or not they are willing to pay those costs. Being vague or making assumptions is not helpful.
I would go to them with a list of schools that you are interested in that includes each school’s tuition and room and board. Do they seem shocked? If they think it’s doable provided you get some aid, sit down with then and run the net price calculators on the school’s website to see what the cost for your family with likely be.
Make sure you have some safeties that you would be willing to go to and your parents are willing to pay for.