Paper wallets are generally used for long-term investment (when you just want to HODL the coin for long term and don't want to spend them in near future). That saves you from installing a fully-functional wallet and from having to download the entire blockchain data to your computer.

That said, your ZCL are safe and you'll also get 3.28 BTCP for that. You don't have to do anything yet.

However if you want to spend or transfer your ZCL now, I can help you run the Swing wallet.