You can cook them with whatever other fruits are handy/cheap and then freeze whatever portion you don't want to eat within the next week. Oranges are acidic, so I recommend combining them with some plainer fruits like apples and bananas. Cooked mixed fruit is a great way to use up any pieces of fruit that are past their prime or that somebody took a few bites from and then lost interest. Remove moldy parts and cores, but edible peels can be left on, and parts that are so mushy you wouldn't eat them raw will be just fine when they're cooked. Cut fruit into small chunks. Put in a pot over medium heat. If it seems dry, add a little juice or water. Season with cinnamon, ginger, and maybe a little salt. Taste it and adjust seasoning accordingly; it may need some added sugar or honey. When juice starts to bubble, reduce heat and simmer, stirring frequently, about 15 minutes or until it turns into a nice saucy stuff. Cook with lid on if fruit is very dry or you want a very liquid sauce; otherwise, let the juice boil off for more intense flavor.
We like to eat this with O's cereal and plain yogurt. It also can be used as a topping for ice cream or oatmeal or pancakes, or eaten by itself, or used in a pie or crumble.