Hello Bozzie,
If you simply need to check your mail you can sign in using www.hotmail.com.
If your looking to use the Butterfly during this time, you can download the butterfly at https://membercenter.msn.com/default.aspx?wa=wsignin1.0
Favorites, Address Book, and settings are saved on the MSN servers. You will simply need to install MSN on the new computer and it will automatically get your account information.
This will not transfer your folders however.
Thanks
Shawns