In paper cups. On your lab bench top. In a conventional refrigerator. All of the above. Dispose of acid by rinsing it down the drain with lots of water.
Corrosives are materials that cause tissue destruction on contact.
Goggles that form a seal completely around the eyes. As long as they are securely chained, as many as you want. A skin sensitizer. Something you should only use under carefully controlled conditions, in a properly operating fume hood. All of the above.