How to safely copy home dir one cpu to another?

[Josef Lowder]

.
What is the recommended procedure and correct syntax
to copy one's home directory from one computer to another? 

I make regular DVD backups of my home directory on my main 
Linux box and would like to copy the complete home directory 
onto my laptop on which I have installed the same distro. 
Of course, the laptop has some attributes that are different, 
such as the processor, cd/dvd drives, video card, etc. 

Are there any risks or potential problems to avoid in using a 
command syntax like the example below to copy my complete home 
directory (3.2 gig) from the desktop box DVD backup to the laptop?  

cp -pruv /mnt/cdrom/joe/* /home/joe