datahoarder
Who are we?
We are digital librarians. Among us are represented the various reasons to keep data -- legal requirements, competitive requirements, uncertainty of permanence of cloud services, distaste for transmitting your data externally (e.g. government or corporate espionage), cultural and familial archivists, internet collapse preppers, and people who do it themselves so they're sure it's done right. Everyone has their reasons for curating the data they have decided to keep (either forever or For A Damn Long Time). Along the way we have sought out like-minded individuals to exchange strategies, war stories, and cautionary tales of failures.
We are one. We are legion. And we're trying really hard not to forget.
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You will need a way of connecting both your current 2TB disk and a new one at the same time. A USB hub (if you don't have free USB ports) and second enclosure, or 2-bay disk dock (much cheaper than a NAS device and no networking required) will do.
You can then combine their storage with mergerfs (available for most distros). Both disks will still work independently, and you can use indexing software like gwhere, cdcat or gcstar to scan each drive so you can tell where a particular file ends up.
You might also be able to buy yourself some more space by using jdupes or rdfind to hardlink duplicate files.