How do I find in turbo tax if my taxes were filed and when the money will arrive?

Did you efile? Was it Accepted?

Did you go all the way through the File tab, through the 3 steps and hit the big orange Transmit Returns Now button?

You can check your efile status here,
https://turbotax.intuit.com/tax-tools/efile-status-lookup

When you efile you get back 2 emails. The first email only confirms the transmission. The second email says if the IRS (or state) Accepted or Rejected your efile.

When you log into your account you should also see the status and if it was Accepted or Rejected, Started, Printed, Ready to Mail, etc. What does it say?

If your return was Accepted or mailed then check IRS Where's my refund
https://www.irs.gov/refunds/

When will you get your refund?
https://ttlc.intuit.com/community/refund-status/help/when-will-i-get-my-irs-tax-refund/01/25589

IRS - Questions about Refunds
https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions

as to when the money will arrive.  put a big calendar with a lot of dates on a wall and throw a dart. no one can give you a firm date.