[tunetine]

Is there any way to exchange your money for bitcoin and just put it in a 'personal wallet' if you don't want to store it on somewhere like coinbase, etc?

[celticninja]

Yes there are a huge variety of wallets like this, hardware and software. Storing your coins on one is best practice, don't rely on an exchange.

[jordiburgos]

Transfering the coins from and to the exchange... Would that cost a fee?

[celticninja]

Yes, miners fees make the system go round.