Considering Taxes

Would it be better to pay tuition through my own bank account or through my parents account?

When you file your taxes, assuming you’re a dependent of your parents that may or may not live on your own, do they file for you or do you receive your w2s and file them yourself?
Regardless of your answer, it won’t matter whose bank account pays for tuition when it comes to educational tax credits like American Opportunity Tax Credit or the Lifelong Learning credit. The school will make available for you the correct tax document so it can be inputted on your tax return.

It does not matter if you are still a dependent. It helps by lowering your own account balance for financial aid purpose though.