On the homepage on the left you will see your email options, and on the right your profile. If you want to change your username then log into your hotmail account.
Then, on the left you will find the menu for personal information, and within this you will see 'My Profile'. If you want to check your user name again when you're logged into your hotmail account, though, then you will need to go to the options menu at the top right hand corner of the screen. Your username in this instance would simply be 'example' without the inverted commas.
The username that you were provided when you first opened your hotmail account is actually the first part of your email address - so all you need to do is look at your address and use the words that are found before the Let's say for instance that you were provided with an email of ' '.