I think you don't need to run a full node just to transfer them to your ledger nano.
Yes, that is correct.
The only benefit of running a full node is for privacy reasons.
As you are not requesting to other nodes the balance of your addresses, nobody can link those addresses together by your requests only.
your privacy would be safer as you are requesting the balance of all addresses.
The first thing you need to do is to create a new wallet in Ledger Nano and send your coins to the addresses in your new created ledger nano wallet.