Pay the TurboTax account fees with a credit card to avoid the fee for paying with the federal tax refund.
See this TurboTax support FAQ for removing the pay with refund fee - https://ttlc.intuit.com/community/downgrading/help/how-do-i-remove-pay-with-my-refund-fees-in-turbotax-online-and-change-my-payment-method/01/25880