Bleach and the smell is not good for hamsters.
Here is something I recommend that is gentle yet far more effective at killing viruses and bacteria than any products you buy over the counter. It seems expensive but then that makes 25l as there are 50 tablets and 1 makes 500ml in the box. It does keep quite well and has virtually no smell and is safe to use around humans and animals. You can make it up in a spray bottle and use around the house too.
I always recommend this as you can feel safe in the knowledge that you are keeping clean but in a hamster safe way.
That said it has been proven that we and our animal friend need a certain amount of exposure to bacteria etc or else we are not building up our immunity systems properly for the furure so bear that in mind. Hamsters also need to keep their scent around for their mental health which is equally important so don't overclean in that respect.
It must be hard I know if you have a thing about cleanliness so wishing you luck. Try the Virkon as you won't be disappointed
https://www.amazon.co.uk/Virkon-Tabl...n+disinfectant