Just today I read an article about that on Dr. Mercola's site. In addition to putting in jars, like the mason jars that were suggested, he said...we'll let me copy you on it:
If you're careful you can store it for up to 24 hours with only moderate nutritional decline. To store your juice:
1. Put your juice in a glass jar with an airtight lid and fill it to the very top. There should be a minimum amount of air in the jar as the oxygen in air (air is about 20 percent oxygen) will "oxidize" and damage the juice.
2. Wrap the jar with aluminum foil to block out all light. Light damages the juice.
3. Store it in the refrigerator until about 30 minutes prior to drinking, as vegetable juice should be consumed at room temperature.