Move Time Machine backup from local disk to Airport Extreme disk and share with others I recently picked up a Drobo for storage and light backup, and want to clear the 1TB Western Digital external drive I have off my desk. I would like to still use Time Machine, but possibly off a share from my Airport Extreme, so my wife can use it on her laptop too. 

This disk currently has been running Time Machine locally for my iMac. If I move the disk to the extreme, and tell Time Machine to use it - will it just start off from where its at, or will it have to do an entire new full backup and start over again? 

And with that, can you have multiple machines backing up to the same disk shared through an Airport? Or should I partition it for the different machines using it?
I have run TM backups both locally and across the network.  

Moving backups: 

Just moving the disk won't work.  If you don't need to use the old backups, it's probably worth just biting the bullet and waiting for it to complete a new backup (if you connect an ethernet cable on a gigabit network it's faster (~90MB/s) than connecting the drive via USB (~30MB/s)).  

If you need to keep the old backups, you could try creating a sparsebundle with disk utility, mounting it, and then copying the backup files directly onto it.  This method would be slower than creating a new backup from scratch over gigabit though, so if you don't need the old backups, it doesn't buy you anything.

Multiple machines:  

Yes, you can backup multiple machines to the same Time Machine disk