I need to move a large number of emails off of hotmail- since I have exceeded my 10 GB of paid storage.   Right now I am getting no email and it says my mailbox is full.

Is there any easy way to move large numbers of emails to my computer or another account?

I DO NOT have time to go through all my old emails and delete- and need to save many of these for business purposes. 

please help!

Shelley