I freeze both eggs and cheese. Here is what I do:

Eggs: Crack the egg into a bowl. Break the yolk. Pour into a snack size zipper bag. Put these bags into a quart size freezer bag.

To make things easier, you can put multiple eggs into containers for freezing, just remember to break each yolk.

Cheese: For blocks of cheese, slice and to put into quart sixe freezer bags. You can put a package of sliced cheese directly into the freezer without opening it when you get home from the grocery store.

Hope this helps.