Each one specifies a partition or directory that contains files for a unique purpose.
tce: a partition containing a directory called "tce", or a specific directory. Here is where auto-loaded extensions go. If you add a directory named "optional" inside that directory, you can put other extensions into it, which will not be auto-loaded but will be made quickly available from the appbrowser.
restore: the location of your backup file. Without this option set the system will try to find the backup. Specifying its location allows you to have multiple backup files, and it may speed up boot time slightly.
home: the location of a persistent /home directory
local: the location of a tclocal directory or mountable file. This is a perstsent /usr/local directory.