Hi @Rod Martin,
ALso, the mail accounts used are IMAP and POP3. Not MS Exchange.
As per IMAP, it works by reading email data from email service rather than downloading them to local machine, so you don't need to worry about the email data stored in the email service, but only need to export Outlook items in the "This computer only" folders to use them on the new computer.
For POP3, you'll need to move the PST files to the new computer.
Below is an article with detailed instructions about how to move an email account(IMAP or POP) to a new computer. Hopefully you can find it helpful:
Moving Outlook to a new Windows computer
(Please Note: Since the web site is not hosted by Microsoft, the link may change without notice. Microsoft does not guarantee the accuracy of this information.)
If the answer is helpful, please click "Accept Answer" and kindly upvote it. If you have extra questions about this answer, please click "Comment".
Note: Please follow the steps in our documentation to enable e-mail notifications if you want to receive the related email notification for this thread.