CSDS 0.98.04 (or later) has some tools that will assist you in moving the music database to a new computer with a new folder structure.

In particular, the 'Edit Music Database' section has the following options under the 'Tools' menu:

1. Clear contents of database

Erases all data in the music database.
 

2. Dump contents of database

Creates a text file containing the entire contents of the music database.
 

3. Import from dump

Imports a previously dumped music database. This function adds data (without overwriting existing data) to the music database.

How to copy the music database from one computer to another computer with a different folder structure:

1. On the source computer, run CSDS, get into 'Edit Music Database', and do a 'Dump contents of database'.
2. Copy the music files (mp3 files) to the destination computer to the desired folder.
3. Copy the 'database dump' from the source computer to the destination computer.
4. On the destination computer, use a text editor such as WordPad or NotePad to edit the 'database dump'. Do not use a word processor such as Microsoft Word! Do a global replace to change the file pathnames so that they start with the desired folder. Exit the text editor and save the file.
5. On the destination computer, run CSDS, get into 'Edit Music Database', and do a 'Import from dump'.