Transfer to Ledger Nano X

I have a relatively large amount of ChainLink I want to transfer out. I did some research and decided on the Ledger Nano X hardware wallet and last night I withdrew 1 LINK via the ethereum network (ERC20) to my address as a test. I saved my address in my address book. It worked.

Thing is, I'm relatively new to all this and shitting it. I'm ready to transfer the larger sum now and I just wonder if you guys can reassure me it will work out ok :/ I will use the same network and my saved address.