Something I've always wondered, is bleach safe to use on tile floors that are colored? I know that if you wash colored clothes in bleach that it's a bad thing, but what about flooring?

It's not going to hurt it or change the color.

It should not damage the tiles, but a strong bleach solution could possibly take color from the tinted grout, assuming it is not white.

I would make sure to rinse well, just in case. There are many products that would clean the tile without this issue too.

i use vinegar with a drop of dawn dishwashing liquid mixed in with hot water for all my cleaning and it is working teriffic . if you have a stubbern stain use a little baking soda it will clean anything , including paint brushes used with oil base paint