MSN Premium Verizon Change

I don't know where else to go.  Can anyone tell me how to find specific instrucions on how to move my emails to either my existing account or to a new account?  I've been using my "old" email using (haven't received updates for MSN Premsium for years now), but I'm afraid all my saved emails will disappear if I don't move my saved emails.  Or, do I even need to do this???  I just don't want to lose my saved emails.

I'm not a techie type.  I just know enough to possibly mess it up on my own.  But, I can follow a good set of step-by-step instructions.  Thank you to anyone that can help...