It's the one with the picture of the dog and the slight obsession with Comic Sans.
(Technically, it has a lot in common with the Bitcoin and Litecoin systems -
It's a stand-
(If you like words and want to get deeper in to the details, here's the deeper techy explanation)
See the Redeem A Wallet section for a range of guides and links to tools to help you.
Presuming you already have some Dogecoin stored somewhere, you can make your own Paper Wallets and then send some DOGE in to them.
The simplest way is with the web-
Make them more beautiful with alternative artwork.
(Also, watch this space for custom paper-
Always experiment with moving a small value of DOGE around first, before making big transfers.
Paper Wallets need to be stored securely -
|Dogecoin Core (QT)|
|(Private Key into PC)|