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I find the best alternative to hotmail and other ones like AOL, is Gmail from Google.
You can find out more information about Gmail via - https://www.google.co.uk/intl/en_us/mail/help/about.html
They certainly can Shahida, you can find a guide on how to do that here - http://smallbusiness.chron.com/migrate-emails-hotmail-gmail-27399.html
But you WILL need to have a working hotmail account for it to work.