Usually encoding again a video is not a good idea, because quality will degrade easily. How much the quality will be degraded is related to the original video (bitrate, resolution, etc), but a recompression will degrade the quality anyway.
The best options in my opinion, are two:
- burning your files on DVDs
- saving files on a HDD (a 2.5" one is a nice option, because if you want to play these divx files on a standalone, there are some able to play divx files and provided with an USB port, so you don’t need to burn these files at all).