Hey R.R.F.!
Last time I moved, this is what I did. I did have over 20 milk crates to help (Don't ask where I got them from ).
Start with the last c.d. in you collection and work your way backwards until you fill up a crate.
Make sure you buy number stickers to number the crates (Go to a drug store, office supply should sell them).
Make sure you line the crate with newspaper so you don't scratch or damage your c.d.'s.
Always!....I do mean ALWAYS check the weather report
This was the easiest way for me to move over 3,000 c.d.'s at the time.
Good luck Mate!