.....After installation you should have an entry titled "Compiz Fusion Icon" in the "System" section. Clicking that should start compiz-fusion. I would say give it a try and tell us back here how it went.
I installed the compiz -fusion package only and as you predicted, I got the "Compiz Fusion Icon" in the "System" section.
When I click on it, the screen goes blank ( only the wallpaper shown, all open windows gone) for about half a second and then the screen is back to normal and the 'Compiz Fusion Icon' appears in the "Panel bar".
Right-clicking on that gives me another sub menu, containing
"Emerald Theme manager"
When I try to change to another desktop, nothing goes.
When I quit "compiz" I still can't change the dektop
the whole window handling seems to be stopped.
(Sorry, I'm not educated enough to explain it better.)
After posting this I will have to Restart and see if I can get the window manager back to work again.