hotmail is very limited when it comes to forwarding etc. That' s why I decided to use gmail and get rid of all other accounts(hotmail, yahoo, provider's emails etc.) . Gmail will let you do all that and more. I know this might not help you but was thinking if you had considered using gmail instead? In that case you have several options available to you and also big mailbox 7.5 GB. You can't really sync hotmail unless it ends up in your exchange mailbox. Hope someone else is using it and can help more.
I am not huge fan of having third party doing forwarding (cause you need to provide user name and passwords etc) but if you are ok with that you may try this: http://www.hotmailforwarder.com/tuto...ddress-t4.html