Courtesy-wpengine

Fiberglass or glass wool causes extreme irritation in the eye and also in the respiratory system. Symptoms can include problems like irritation of the throat that leads to continuous coughing, itchiness on the surface of the skin, irritation in eyes, and the nose leading to breathing problems. Fiberglass that is used for insulating devices seems to produce a similar effect, such as to asbestosis – a lung disease. Fiberglass should never (one cannot stress on it enough, but yes.) be left out in the open, especially in an occupied area. That's one of the main reasons you're recommended to not store and keep it in the basement or the attic or any kind of household setting. 

It isn't hazardous to work with fiberglass, it is safe to manufacture, it's safe to install, but healthy work practice must be followed by all which unfortunately at times is overlooked at. So, here are a few tips to keep you safe and out of harm's way while using fiberglass. 

  1. Wear a proper protective suit and if not available then wear extremely loose clothes with full sleeves, goggles to cover the eyes, gloves for the hand, a mask to cover the face and, ahead of covering gear(preferable a helmet). Use tape to shut the end of the sleeves. 
  2. Avoid rubbing the eyes or skin in case irritation and itchiness sets, rubbing will only make the irritation worse. Wash your hand thoroughly with soap and water before and especially after making use of the fiberglass as multiple tiny dust and glass particles stick to the hand. Wash each piece of clothing separately if possible. 
  3. Keeping the workplace clean, using the vacuum is one of the most recommended methods as you don't want the dust particles spreading around. And most important is keeping the fiberglass stored properly. 

You can stop your research on glass wool wall insulation and instead get on the net and simply a professional to do your work.