I have not personally found anything you cannot use them with. I love them!!!
What I know is that my usage of paper towels has been cut by 90%.
I dried mine in the dryer - they seemed just fine. A little wrinkly but just fine! :)
We have using, running them through the washing machine and dryer, and using them again. Very happy with the purchase and highly recommend. We have not used bleach but I see no reason you couldn't use a bleach/water mix. They are durable and white so go for it!