Not sure if you are talking about your EMAIL address OR the name your recipients see when they open up their inbox...
If it is your email address then you can add a secondary one to your present one OR create a new account (you will then have two unless you cancel the older one)
To clarify what is below...when you add another name to the present account you will not lose anything...IE: contacts...address list. etc...You will have to send an email to all your friends advising them of the new email address...if someone makes a mistake and sends it to the email address you don't like anymore it will go to the same inbox so you don't lose any messages.
there used to be an easier way to let people know of your email address change, but yahoo has recently deleted that option when they made many changes to Yahoo...anyway...see below..
Click the link below to get an extra email address for your existing account. It麓s absolutely free. Use it just as you would for your primary address (which of course you can still use). To make things handy, you can send and receive email from either address from the same inbox. http://edit.yahoo.com/config/list_alias?
for your added convenience I will add the following should you want a NEW account
Click this link and fill out the form to create a new account.
https://edit.yahoo.com/registration?.int
___________________
If it is your signature ...... click on OPTIONS...MAIL OPTIONS..go to the left side of the screen and click on SIGNATURE...once in change it to what you want
good luck