When should I be receiving some money? I’m trying to move.

Do you mean your income tax refund?  The IRS will not even begin to accept e-files until late January.   And..if you are getting earned income credit or the refundable child tax credit, the IRS holds your refund until mid-February, so you do not receive it until late February at the earliest.  

If you are asking about the refund advance loan, you do not receive any money for that until the IRS accepts your e-file---and again---the IRS will not accept e-files until late February.

TurboTax does not make any promises about how quickly the IRS will process your tax return and issue your refund.  They only give an an estimated date.  But...after you file your tax return, only the IRS is in control.