Hi @ bangorkeith,
Do you want to save all the emails from Outlook and you plan to save the emails to sharepoint or set up a mailbox that you'd forward emails to?
I think the second plan would be more easier and simple.
If you want to save the emails to sharepoint, you shoule save the attachments to a sharepoint library and then create a sharepoint list to save the subject of the email in it,you could create the flow as screenshot below:

When a new email arrives, the flow would run successfully as below:

If you would like to set up a mailbox that you'd forward emails to, you could create a flow as below:

The flow would run successfully as below:

Regards,
Alice Zhang