Hello there, useraccounts25.
Allow me to share additional information to clear up your confusion about the discontinuation of QuickBooks Desktop UK versions.
QuickBooks Desktop subscriptions will cease to work after 31 January, 2023. Support and access will stop after this date for all subscribed users. Customers using stand alone licenses that don't use any add-on services or require live technical support, can continue to access the program. This means, you can continue working using your 2013 version after the said date.
I suggest checking out the following link and reading the frequently asked questions. This will provide more clarification about this subject: QuickBooks Desktop is being discontinued.
Should you wish going with QBO, I recommend reading this article: Product feature comparison for QuickBooks Online and QuickBooks Desktop.
Please don't hesitate to post again if need further clarification about the product discontinuation. I'm always here to help you out.