So all 3 are in one cage? You really should have gotten another cage prior to getting another chin. Ideally you should have put the new chin in it's own cage in it's own room for quarantine for 30 days before allowing them even in the same room. That way if the new chin has any illness (they are good at hiding illness) it doesn't pass it on to the current chins, too late now. Also it allows the new guy to get adjusted without other chins around and for you to get to know him without the others.
Anyways that being said... Back to your question, you can use a mix of vinegar and water to wash things. With the fleece if you do use bleach it will work, but make sure you run it though an extra rinse cycle in the wash. With pans or other hard surfaces rinse very well if you use bleach. I personally don't use bleach because I can't stand the smell. For wood you can sand it down to remove stains after scrubbing with the vinegar and water mix. I'm assuming you are asking because you are just wanting to use some of the existing chins items for the new guy? If so bleach shouldn't be needed unless it's from an unknown chin or one that died.