Do .od[X] Files Transfer With Computers?

I’m using a fairly old computer (Dell Latitude E5530 with 8 gigs RAM and possibly some other changes; I’m not that techy) and have a minor concern that when I need to get a new computer, the LibreOffice files won’t transfer automatically, like Microsoft Word files do. So do they automatically do so? If not, what would the best solution be?
PS: Sorry if this is a silly question.

Just transfer your files from one computer to the other. LO files are designed to be portable as long as an application supports ODF.

But this transfer will not occur automatically. You’ll need to copy your file onto a USB stick (or other medium) and store them into the new computer. If you’re smart enough, you can use your local network to avoid the USB copy operation.