Chlorine bleach is cheap as anything and the main ingredient in mold-rid products. Water down about half, put in spray bottle, spray on mold. Will bleach some things so test it first. White vinegar will also attack mold, if you're worried about bleach, but bleach should be totally appropriate as a germ killer in bathrooms. No more scrubbing grout, just spray on and leave.
FYI, bleach shouldn't impact ceramics like tiles. It won't react with the tile or the glaze. Perhaps if the tile was handpainted or printed it might......