Need Help Moving Suitcase Fuison 3 to new computer

I’ve had Suitcase Fusion 3 for a long time and haven’t seen the need to pay for an update or a different software. My problem is that I have thousands of fonts and only about a quarter of them are in the Suitcase Fusion Vault, the rest I decided to leave in the original location to save space in my computer. Now I need to move all my font sets to a new computer and so far it seems that I cannot do that. When I export the sets and import them to the new computer, the sets are epmty. I thought the font names would be there even if there was an error message saying that it could not find the font file. Am I doing something wrong? Is there any way to move the sets with the font list included?

Thank you in advance.