Well, personally, I usually hang em with the head up....either by the neck or the antlers.
You can do it either way really.
Pending how you dress the animal first. If you just field dress him out in the woods (guts out, lungs and heart in), you're best off hanging him with the head up as it's easier to reach up into the chest cavity and pull all the innerds out.
If you completely dress him, you could go either way. Mind you, I find them a little easier to hoist up there by the neck or antlers.
If you hang him feet up, you will need to cut a couple holes through his lower (back) legs where the tendons are, and hang him via hooks or some apparatus.
If it's a moose, well, my suggestion is to quarter him where you shot him and save yourself a lot of aggrevation.
I've dragged a few of these beasts out of the woods now....and I A'INT doing it again....unless it's a really easy trek.
Hope this advice helps.
Cheers,