Let it stand for a half hour before serving. Bring only what you need to room temperture. Leave the rest wrapped tightly in the fridge. Cheese will continue to ripen, no matter how carefully it is stored. Hard cheeses will generally keep for several months, whereas softer cheeses will keep from one to three weeks after opening, if stored in an air-tight container.
Shredded cheese is more prone to mold because it has more exposed surface area.
Try to use shredded cheese within a few days. Most hard cheeses can be frozen, however, there will be changes in texture. Wrap cheese so that it's airtight. Date cheeses when you freeze them. Most hard cheeses can be frozen for up to 8 weeks.