Here is how to do it.
First, remove this screw:
The valve housing is held in with a type of silicone glue. Prise it off gently. I use two screwdrivers.
Having done that, it now looks like this:
The inner cyclone can now be prised out - it is very tight.
The cyclone will split further like so.
That's what I do to clean them.
To re-affix the valve housing, I glue it back with Evo Stick, tape it round and leave it overnight. It wants to be air tight.
They were not really designed to be stripped down.
Does that help?