Do the two state refunds i have does both get direct deposited or one and other mailed.

If you set up direct deposit for your Federal return.  TurboTax will ask you if this is what you want done with the state refund.

There are several verification pages to be sure the agencies will deposit refunds per your request and that the account numbers are correct.

If the IRS or your state cannot complete direct deposit, they will mail your refund after three attempts of direct deposit.