Summarize:

Keep yourself safe by not touching mold with your bare hands. If you are using vinegar or Borax to clean the mold, regular household rubber gloves are fine. However, if you are working with bleach, choose natural rubber or PVC gloves instead. Take the gloves off as soon as you are finished cleaning so that the spores don't spread throughout your home. It's best to wear old clothes that you don't mind getting stained or damaged by the cleaning solutions and hot water wash cycle. Always use hot water to wash your clothes with immediately after you have finished cleaning so that the spores trapped in the fabric are killed and don't spread. It's especially important that you wear old clothes if you are using bleach. This is because bleach can remove the color from fabrics. Open as many windows are possible and turn on the bathroom fan if there is one. This helps to prevent you inhaling the mold spores and any toxic fumes that may be released by the cleaning solutions. You can also bring a portable fan into the bathroom if you have one.
Use rubber gloves whenever you are working with mold. Wear old clothes and wash them in hot water after cleaning mold. Keep the bathroom ventilated while you are cleaning.