After you file

TurboTax is a do it yourself tax preparation software that filers can use to prepare and file a tax return. You are paying for the program and for the use of the servers that it is on. You are entitled to phone support if you set up a call back. 

 

TurboTax gets no information about the status of your refund.
In normal times, the IRS says that most filers get their refunds within 21 days from the time their tax return is accepted.
Many returns are taking longer now since the IRS did not process returns for a while and there is now a big backlog of unprocessed returns.
The IRS is currently not processing any mailed returns and is not taking any phone calls.

If you efiled your return, have you confirmed that the return was submitted by TurboTax and accepted by the IRS?
https://shop.turbotax.intuit.com/efile/efile_status_lookup.jsp

If accepted, what does the IRS tracking web site say about the status of your refund?
https://www.irs.gov/refunds

Here is an IRS Q&A with information about refunds:
https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions

 

The source the IRS used to determine what your stimulus payment should be apparently did not include any dependents under the age of 17. No one here would know what source they used.

 

Since the stimulus payment is actually an advance on a 2020 tax return credit, you will be able to claim the additional payment for child dependents under the age of 17 on your 2020 tax return filed in early 2021.