Layers is the answer.
Go to View tab, select 'Move to Layer', select the objects you wish to move, key in a layer value.
To show or hide the layers, go to 'layer settings' button in the view tab, and there you can find all the layers you created.
Let me know if that helps.
Going through your post again, you might want to look at 'group face' command in 'Synchronous Modeling' group under Home Tab. This also works if you just want to have the faces grouped together and behave as a single set, on which you can work later on.