How do I share files with users based on Apple ID? How do I setup file sharing across multiple macs, such that I can share by connecting with my Apple ID, as opposed to a username/password?

I've searched the net for documentation on doing this, and have the hang of it using username/password, but not using Apple ID.  The situation:

I have two Macs, both running OS X Lion, one with Server (I'll call that one the server, and the other the client).

From the client, in Finder, I see the server.  I click on it, and then click on 'Connect As...'.  A dialog appears, prompting me to connect using either a Registered User, or Using an Apple ID.  I select 'Using an Apple ID', and in the dropdown box below, select my Apple ID.  I click 'Connect' and the dialog shakes back and forth (I presume indicating 'no'), and does nothing.

Both computers have a single user, which is associated with my Apple ID.
Set up iCloud on both computers, that's what its intended to do. 

Go to 

System Preferences... iCloud  

Alternatively, use either Dropbox or Google Drive. Personally I prefer Dropbox, but they're all pretty much of a muchness.