In order to purchase and store Dogecoin, you first need to have what is known as a wallet.
Wallets are simply just numbers (like a bank account), which cannot be created or destroyed. They take no physical form, and can be accessed in two different methods.
Hot wallet – An online client connected to the internet.
Cold Wallet– A paired key set stored offline in either a paper or hardware form
Wallets do a series of different tasks:
- Stores Private & Public Keys
- Interacts with the Blockchain
- Monitors balances
- Allows the sending and receiving of cryptocurrency
Transactions are stored on the Blockchain, which lists all of the transactions taking place for this currency.
The safest method of storing your Dogecoin is in a Cold wallet. There is an excellent explanation of how this works here.