As far as I have understood, you're supposed to connect your Live account to the OS to be able to use stores and whatnot.
I have an old (badly named) Hotmail account which is my primary e-mail/spam dump account, but my Xbox Live gamer points are connected to it. The thing is, I also have a new @live.com/@outlook.com mail which is aptly named and which I would like to use, but I would want to move my Live points to the new mail if possible so I can use the properly named mail for Windows 8.
Is there any way to perform this transfer somehow? Thanks in advance.
EDIT: to clarify, I don't have a 360, have only used Live for Windows.