Using Mail and Outlook

I have a Mac Mini, OS X 10.6.8.

I have been using the server Tierra.es for my emails but it is closing down. I want to transfer my list of contacts etc to a new account with Outlook.

Is there a "simple" way to do this?

Do I have to reconfigure my Mail account?

Is there any way to download all messages so that I can see them in Mail? Can I somehow transfer my whole Address Book to the Outlook site?

Is thre a way of keeping all messages in and out on my computer so I don't have to access the Outlook online account all the time?

Any advice welcome.