Moving /home to different drive

I currently have the following setup:

128GB SSD:
/dev/sda1 /boot 524MB Ext3
/dev/sda2 (swap) 17MB
/dev/sda3 /root 111GB Ext4

2x2TB HDD in Raid1 Mirror
/dev/md0 /home 2.0TB Ext4

I want to remove the 2x2TB drives to use them in a different machine.
I have moved all my media files out of /home to a backup location so that the remaining contents of /dev/md0 can fit on to the SSD.

How do I safely transition the data on /dev/md0 to a home folder on /dev/sda3?