Part of your professional toolkit should include a professional email address. While a nickname may work in your personal life, a response to a potential employer from FunGuy@gmail.com may send the wrong message in your job search.
If possible, incorporate your whole name into an email address to continually brand yourself. EXAMPLE: If your name is Mary Smith, then make your email address Mary@MarySmith.com or MarySmith@gmail.com. Another bonus of having a separate email address is that it will allow you to keep job-related messages from getting lost among your other emails.