The following tutorial is taken from My Ether Wallet (MyEtherWallet.com) and explains the steps for creating an Ethereum wallet to store your Ethereum and Ethereum (ERC20) Tokens.

Go to https://www.myetherwallet.com/.

The original tutorial may be found at https://myetherwallet.github.io/knowledge-base/getting-started/creating-a-new-wallet-on-myetherwallet.html

How To

• Go to https://www.myetherwallet.com/. When visiting that link, always be sure it is spelled perfectly because there are spoofing sites out there. The “https” ensures the site is secure.
• Enter a strong but easy to remember password. Do not forget it.
  • This encrypts (protects) your private key. It does not generate your private key. This password alone will not be enough to access your Ether.
• Click the "Create New Wallet" button.
• Download your Keystore / UTC file & save this file to a USB drive.
  • This is the encrypted version of your private key. You need the password to access it. It is safer than your unencrypted private key but you must have your password to access it in the future.
• Read the warning. If you understand it, click the "I understand. Continue" button.
• Print your paper wallet backup and/or carefully hand-write the private key on a piece of paper.
  • If you are writing it, it is recommend you write it 2 or 3 times. This decreases the chance your messy handwriting will prevent you from accessing your wallet later.
• Copy & paste your address into a text document somewhere.
  • Search your address on https://etherscan.io/. Bookmark this page. This is how you will view your balance at any time
• Send a small amount of Ether (0.0001 ETH) from your previous wallet or exchange to your new wallet.
• Unlock your new wallet from the Keystore / UTC file on your USB drive or via the private key that you printed out. Ensure it unlocks the wallet you are sent to and matches the bookmark you have.
  • Do not simply leave your new wallet open. Pretend you are coming back a year later to access your riches. Can you do it?
• Send a small amount of Ether (0.00001 ETH) from this new wallet to another address.
  • Perhaps our donation address? We are a free, open-source service. There are no fees, no ads, no tracking, no cookies, no selling your data.
• Ensure you have recorded all necessary bits of information and the addresses match at all times. If they don’t, you mis-wrote something somewhere. That means it’s time to start from the beginning in order to make sure you never lose access to your funds.

Doing all of this is tedious, but it ensures you (1) have complete access to your funds (2) the address you sent to is correct and matches the private key you have saved and (3) you can rest easily for years to come, knowing you will be able to access your ETH later.