I'm here to get the help you deserve, Clare67B.
You have the option to delete the reports so you can manually reorder them in QuickBooks Online. This is also the best way on how you can rearrange them.
You'll want to memorize a report so you can save your current customization settings. Please check this article for your reference: Memorize Reports In QuickBooks Online.
If you need help, please let me know so we can further assist you. As always, we're here for you anytime you need us.