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. Then, on the left you will find the menu for personal information, and within this you will see 'My Profile'. You can see your information here.
If you want to change your username then log into your hotmail account. On the homepage on the left you will see your email options, and on the right your profile. You need to choose 'edit profile'. This will give you access to the 'details' section of your personal account. From this screen you will be able to add new information, modify current information and generally change around your profile settings. You can change work and education history, social network information and more.
Click 'edit' below your username. By clicking edit you will be taken to a new screen that will allow you to edit your personal details even more. You will be asked two different things - your first and last name. Fill in the entire field properly and appropriately with the information that you know is correct and you want to be there. Then all you need to do is click the save button, and all your changes to your profile and username will be saved.