Transferring OE6 messages/contacts from one computer to another

Hi:

I'm decommissioning one computer and installing everything on my new computer.

Is it possible to transfer my messages and contacts from OE6 on the old computer to OE6 on the new computer, please?

I've already tried...
1) On the older computer: File > Export > Messages... which went through the motions of exporting them and then... nothing! Doesn't say where they are.
2) Did a Search on recently created files and found a whole load of ones with my EO6 folder names (foldername.dbx)... so I copied them over to the new computer and used Import in that OE6... which said that there were no messages in the folder I'd saved them in. So, no joy there.

I'd appreciate you help, please, thanks!
Barry.

 

PeteC... thank you very much indeed. All sorted, now.