Irs.gov says I will have.my return on April 8th. Is this correct.

Was that the date at the IRS "Where's My Refund" tool? 

If that's the date they provided you, it should also say there to allow up to 5 days due to variations in bank processing  procedures/times.  It usually doesn't take that long, however.   So the first date they show there is not necessarily the date you will actually receive the funds.  It can be, but there are other factors at your bank's level, so it's unpredictable.

AND there may be another link in the chain IF you used the following service, which can delay it a day or two:

Did you have any TurboTax fees that you chose to pay out of the Federal refund?  If so, the funds go first from the IRS to a temporary account at an intermediary bank where the fees are subtracted.   Then that intermediary bank sends the rest of the funds on to your bank (or card.)   If you used that method to pay fees, then once the IRS has actually released the funds, you can check on the funds at the level of the intermediary company (SBTPG).   To log in choose the taxpayer portal at:  https://www.sbtpg.com/

If you did not pay the fees that way, then that paragraph will not apply to you.  The funds would go directly from the IRS to your bank (or card.)