NFDI itself does not provide any hardware that can be used to store data. The first stop would probably be to check whether your university/research institution provides adequate storage via their in-house repository.
We also provide the "data collections explorer", a database that can be used to find a fitting repository. It currently includes roughly 90 entries, both national and international.
There's also the option to set-up your own solution. Today, several terabytes fit quite comfortably into a RAID system, which some departments have purchased for their purposes. This also guarantees data security. Local systems are often much better suited to analysing the data than pure repositories which are mainly designed to make it easy to find published data (e.g. Coscine). Such systems are neither intended nor suitable for active use for data analysis. If you have further questions, I can connect you to our matter experts in the consortium.