Just as it may be in a modern suburban home, the primitive kitchen can be a center point of activity out in the woods. Garnish it as you like, but keep it as simple as can be to conserve energy and resources.
It should include a fire pit, as well as tools to help you to carry out your chores. You can make them out of natural resources if you do not have the modern version, such as spoons and tongs to grip hot rocks that you will use for rock boiling, as well as a support for a billy can to boil water or make a stew.
If you desire, an oven can be made as well. I ate a slice of pizza from the stone oven in the photo above. I don't think that we placed a rock to close up the front of it however, because of space constraints, and that it wasn't really needed. At another time others had meat cooked directly on the hot flat rock, which acted as a frying pan. The pizza cooked just fine.
Even without a front door, the heat is still being trapped to a degree by the 3 walls and top, which helps for cooking. It is the same principle as a reflector for the effect that it would have had.
Some points here about shelter, kitchen and game preparation locations:
Do not locate your shelter too close to the kitchen, and here are some of the reasons why.
1. Sparks from the fire in your kitchen near a debris hut don't mix well for you in a survival situation.
2. As much as possible, do not prepare game in the kitchen, but have a separate location that is downwind of your site. Body parts such as offal, bodily fluids and blood can attract bears and other animals to your site.
Whether experienced or not, it is the same principle as camping in bear country. You have a separate shelter, cooking and food storage area, each at a certain distance apart. I personally believe that the distance where the butchering will take place should be further away just to be certain.
There are different methods for preparing game, and it must be done properly so as to not contaminate the meat within. Have a look at Primitive Cooking below for more information on the subject.
You'll always hear that it is important to conserve calories, which information is true, but if you caught yourself an animal, you would have replenished some calories to carry on your labors. To walk a slightly longer distance to prepare your game shouldn't be a concern. Do what is best however should there be a reason that you cannot, perhaps an injury coupled with fatigue.
It is possible to prepare game at the site of a trap, which will be inviting to other animals to come and see. This will give you an opportunity to increase your success at hunting.
Have a look at the Hunting and Fishing page for more details.