What if you use a mobile wallet for this purpose? It's able to scan a QR code, and you can do this while you're in airplane mode, so no one will be able to take your private key while you're working with the paper wallet. Before, you can save your trezor's address (where you want to move your coins to) in the mobile wallet's address list, so you can create the transaction (sending from the paper wallet to trezor) on the mobile phone in the mobile wallet and sign it, and you can reconnect the network when you broadcast the signed transaction. This way you can send all your coins to the hardware wallet, and because you don't want to use the paper wallet anymore, it's not a problem if the mobile wallet contains the private key of the empty paper wallet.
Thanks for the reply:
I haven’t swept my paper wallets but using your suggestion of using a mobile device to QR scan
Is there a chance the mobile device could be compromised?
From your reply, I’m gathering that the best way to do this would be to scan with mobile device in airplane mode, while also directing the go to address of the signed transaction to be the new address that I’ve created on my trezor?
That way, once I plug into the internet...the transaction will happen?
Don't act too quickly, wait for some more suggestions. There's a chance that mobile devices are compromised already, so you should search (wait) for a few other solutions and choose the best, that has the less risk. I have read that some mobile wallets has been compromised on iOS with a QR code scanner malware, I don't know the app which is affected. I don't know also if Android apps are affected or not.
Just wait for some more advice from forum members, there will be a solution sooner or later.
I have read about solutions that includes linux live cd operating systems for setting up temporary wallets for loading the paper wallet into it and signing a transaction and moving this transaction on a USB stick to an internet connected PC to broadcast the transaction, so there are more possible solutions to concern. Also, you can search on the forum for similar questions, too.