There is no fee for the advance. If you use a paid version of the tax software there is a fee for using TurboTax. And if you choose to pay the TT fee from your federal refund, you pay a "refund processing fee" of $40 ($45 in CA) for having a third party bank handle that for you.
https://turbotax.intuit.com/refund-advance/
How can I see my TurboTax fees?
https://ttlc.intuit.com/questions/2565973-how-do-i-review-my-fees-in-turbotax-online