Hi 1dotbrown,
You can import your QuickBooks Desktop (QBDT) data to QuickBooks Online (QBO) through Intuit Data Services.
To do this, you'll have to:
To read more about how to transfer your data from QBDT to QBO, please check this link: https://community.intuit.com/articles/1715188.
To add, you can import each lists to QuickBooks Online International through an Excel (*xls) or .CSV file. You can use this article as a reference: https://community.intuit.com/articles/1145982.
Feel free to leave a comment below if you have any questions. I'm here to help you.