Bitcoin newcomers will find a variety of exchanges and wallets competing for their business.
Some are full-blown exchanges for institutional traders, while others are simpler wallet services with a more limited buying and selling capabilities.
Most exchanges and wallets will store amounts of digital and/or fiat currency for you, much like a regular bank account.
Exchanges and wallets are the best option if you want to engage in regular trading and speculation, don't need total anonymity and don't mind lengthy bureaucratic setup procedures that usually involve proof of identity and supplying detailed contact information.
Coinbase is a popular wallet and exchange service that will also trade US dollars and euros for bitcoins. The company has web and mobile apps. Originally a US-only service, Coinbase has recently opened up to a large number of European countries.
You can buy register on Coinbase here and if you buy $100 USD of bitcoin or more, you will earn $10 USD of free bitcoin!
On Coinbase you will find step by step tutorial after registration how to link your bank account and buy Bitcoin. After purchasing Bitcoin you will get it directly to your Coinbase Wallet. You can also use Coinbase wallet on your mobile phone.