How do I sign-in to my hotmail/now outlook from a different computer. It automatically opens-up on my vista computer as I saved my P.W. etc ,

I have been using Hotmail since its inception and I was always able to access it from anywhere.  I would call-up hotmail and enter my user name and P.W. and I was properly directed to my hotmail account.  My account was switched to Outlook and all my "stuff" was saved and transferred and all I have to do is call-up windows live mail in my favorites list.  I have a vista system withh the latest I.E.,and all updates are installed.  I tried to access Outlook on a different computer(my wifes) and the only outlook account is her's.  How can I access outlook from anywhere.  How can my wife access her account from my computer.

Thanks for listening