Here is a photo of the entire unit fully disassembled. Most of the hair we need to get at is inside the ends of the brush axle (bottom left of photo).

I recommend using a medium-large safety pin to dig out the hair/fibres, a pair of scissors to cut the hair off of the brush, and a flat head screw driver to pry the black plastic end caps off with. You may need a small hammer for reassembly.

There are no screws. Most pieces are held together by plastic pressure. Be careful not to break any plastic clips or pieces or you will need to buy a new unit.

To prevent having to disassemble this unit often, always take a few minutes to cut any hair/fibre off of the brush after each use.

Disassembly and cleaning should take from 30-45 minutes, depending on how much hair is stuck in the unit.