I use all my usual stuff (Lysol, Fantastik, etc) - I just make sure not to get too close to Klaus. When dusting the living room (which is where he is) I spray the Pledge into the rag instead of onto the surface I'm dusting. This cuts down on it getting airborn.
I don't bleach very often but if I find I need to, I move Klaus' cage as far away as possible, clean quickly, and ventilate like crazy. I use a Swiffer on my floor - I believe you can use that on laminate if I'm not mistaken.
Good luck!