Broken Glass Put in Garbage Broken Bulbs Sometimes HHW Depending on the type of bulb, you may need to dispose of it as Household Hazardous Waste. Find out what to do with broken bulbs. Double Bag Large Items Put large pieces of broken glass inside two layers of plastic bags, and then label the bags as broken glass. Set labeled bags next to the garbage. Seal Off Small Items Place small broken glass items in a small plastic bag or wrap them in newspaper. Dispose of those items in the trash.