Do NOT use bleach!!!! Yes, it removes the appearance of mold more quickly, but doesn’t kill it. Bleached mold will return. Vinegar, Tea Tree oil or eucalyptus oil is a safer, more effective and permanent solution as they can be used regularly to safely kill mold and keep it from returning. All of these have strong odors, but those dissipate quickly.
We have mold and mildew in our shower too. I used bleach to clean it and it just seamed to bleach the color of the mold away rather than killing it. It then came back twice as strong. I wasn’t aware of the teatree being effective, definately trying this ASAP!