There's another way to do this still:
Using the Ubuntu Help page found at https://help.ubuntu.com/community/Partitioning/Home/Moving
That tutorial will show you how to move an unencrypted partition, but the tweak I used for moving an encrypted partition was to follow that tutorial with the following difference in commands. My explanation for why I did it this way may need some corrections from someone who knows more than me, so please edit or comment if you have time.
Create your partition in Gparted, and give it a label that you will easily recognize. Some of us have too many disks and partitions to remember by numbers.
Before using rsync to copy the files over, unmount your encrypted home using ecryptfs-umount-private. The reason I did this was because rsync seemed to copy the mounted/unencrypted stuff AND the .Private ecryptfs thingies. You only need the .Private and .ecryptfs folders mentioned in the earlier posts.
To copy the files, enter the command "sudo rsync -aVP /home/ /media/home/" instead of using " sudo rsync -aXS --exclude='/*/.gvfs' /home/. /media/home/. " as the tutorial says.
a note on the output from the command "sudo diff -r /home /media/home"
The diff command did report a long list of differences in my case, but I think that was because I was still using Firefox and opening a bunch of documents which changed bookmarks,history etc. I checked my files after completing all of the steps in the tutorial and didn't notice anything missing. After restarting, Firefox reopened a session with a bunch of tabs that I had closed long before copying the files over, hence my assumption about the output of the diff command.