Having parents have access to your bank account is terrifying. Any money in there is technically as much as your parents as it is yours. They could take 100% of the funds out of that account at any given second and legally you could do nothing about it.

Open a separate checking account and do not deposit any more funds into that old account. Once you're good to go, close or remove your name from the old account.

If you're still willing to give money to your parents (you really shouldn't be doing this anyway unless you really have massive amounts of disposable funds) it's going to be on your terms.