When you say windows live mail do you mean like a Microsoft provided address? Cause Windows Live Mail is an actual program that organizes many accounts.
It's an @live.com email address, which is what hotmail recently converted to.
Thunderbird is a great email client. I have used Pidgin in the past and apparently you can set that up for email notifications.
http://www.howtogeek.com/102919/5-tips- ... gin-users/
I once tried thunderbird but I couldn't figure it out lol. Maybe I'm more computer literate now. I'll give it another try.