if you've got SSH access on both servers its even easier.
tar up your home directory
Code:
tar -cvf /home/directory/path backup.tar
Then you can either download that, or move it thru SSH to your new server with the scp? command i beleive.
Then you just unpack it when you move it there
Code:
tar -zxvf backup.tar
Its been a while since i've done it, but that should be the basics right there Good luck.