First good place to start is by reading the relevant helpfiles.

HELP CABALS

See also: STORY PHILOSOPHY BATTLE HERALD ACOLYTES SCION
TRIBUNAL MARAN2 EMPIRE OUTLANDER 'CABAL QUESTIONS'


From there, it's a matter of following whatever the set proceedure
is for each of the cabals. Each have their own induction standards,
which are generally set by their mortal leadership.. and are therefore
subject to change from time to time.


Typically, you send a note.
You speak with existing members.
You speak with a mortal leader or immortal of the cabal.
After these steps, you might make it in.

It's important to note: Cabals are not for everyone. If you are
very very new to CF, you might find the process daunting. Joining
a cabal is not a right, it's a privilage.

Indeed I was aware of this information. I was just hoping for some more specific pointers. However, thank you for you kind assistance.
Devante the Ranger Canidate

To add on to Grurk's thing, When you talk to existing members, see if you can feel around what the underlying themes are of the cabal and such. Also there are places in the game where you can find books, and other information about it.