Many different ways, of course, but here are a few points based on my own experience (6 small-med whitetails, all done solo).
1. Butt-Out 2. This thing is not a gimmick. It works great. One warning though (OK, I'm a little embarassed here, but it's all about helping - right?) - make sure you get the right hole if you shoot a doe. I was trying to dress a doe quickly before dark last year and rushed a bit - ended up with the buttout stuck in the wrong hole! It was a ##### to get out. There, I said it - lol! Seriously though - it's a great tool. Put it in (the anus!), turn gently a few times, then pull smoothly out. The membrane of the rectum tears just inside the deer and you pull the colon out, making it easy to tie off (I use a small piece of string).
2. The gut-hook that someone showed above works great, and prevents many accidents poking a hole in the guts. (but see point 3 below).
3. Consider a "swing-blade" knife for a do-all dressing tool. http://www.outdooredge.com/hunting-knives-swingblade-s/13.htm I bought the set in the leather sheat that comes with a small saw. I'm not crazy about the saw (clogs with bone very quickly - better suited for wood than bone), but the knife is awesome. That curved end of the blade wiht the blunt tip does a great job of skinning down the inside of the legs to get skinnign started, as well as for slicing up the deer to drop the guts.
4. Hanging deer - I agree. My butcher #####ed me out the first time for gutting my deer and then dragging it thorugh bush, filling the cavity with crap. I have done the method that I describe below with my last three deer and it worked great - very clean for the deer/meat and very clean for me as well. For small deer and/or close to your vehicle he suggested dragging the deer whole to where you can hang it. Then hang it on a gambrel, head-down. Use your knife to into the base of the neck at the top of the lung cavity and blood will drain out of the lungs/chest cavity (with archery deer, there seems to be a LOT of blood in there, so good to get it out quick - probably true as well of most rifle shots). Then using a stout knife or a bone saw cut up through the middle of the chest (sternum) until you get to the diaphragm. I use a knife - works for smallish deer and makes less mess. As said above, be careful not to cut yourself on sharp bone ends here, especially if you use a saw. DO NOT CUT PAST THE DIAPHRAGM yet - the weight of the guts are pressing down because the deer is head down and you will SURELY puncture something. Lower the deer, use the butt-out on the anus if you have not already, and re-hang from it's front feet. Now the guts are all pressing down towards the back of the deer, so you can safely start your cut past the diaphragm without puncturing the paunch. Using your gut hook or swing-blade, continue the cut that you made while the deer was hanging head-down, now going downward from the diaphragm to the pelvis. Use more care the further down you go, because the pressure of the weight of the guys is greater towards the back legs with the deer hanging that way. Just be careful to keep the tip of whatever tool you are using from catching in the guts. Stand back - the guts will fall out! Now you can easily gut around the diaphragm and take out the lungs and heart, oesophagus etc...
Now you can skin it (I do this right away if I can - I find it easier on a warm deer, and I don't have a garage etc at home, so best for me is to skin on-site, then go right to the butcher with it on a tarp in the back of my station wagon - this also keeps tick out of my car and prevents spreading them around the province). While the deer is still hanging by it's front legs, I cut around the hocks of the back legs and then slide in the tip of the blunt swing-blade and zip the skin open along the inside of the leg from the hock to the split in the body cavity, on both sides. Then I just pull the skin off the leg enough to get at the big tendon on the back of the leg, and poke a hole through the membrane between the leg and that big tendon.
**SAFETY NOTE*** be very careful NOT to nick/cut that big tendon. My buddy made this mistake a few years ago, and then it tore while he was skinning his deer - he was puling down on the skin hard with one hand, with a knife in the other hand, when the tendor tore, the deer fell of the gambrel, he fell on the floor, and the deer handed on the knife, on the other hand and he very nearly cut a finger off - very nasty.
In my case, what I do now is take another gambrel (I just bought two cheap ones) and put it into the back legs. I hang that gambrel from 4 feet away or so, usually just a little farther down the big branch or whatever "beam" that my first gambrel is, and pull the deer up from the back legs before undoing the first gambrel from its front legs. The reason for this is that the guts and all the blood is right under the deer, so I don't want to lower the deer onto the ground to switch to the back legs for skinning. Some other approaches are to have a buddy or buddies help to hold the deer while you change the gambrel over, or to put a tub under the deer before dumping the guts, so that you can haul the tub out of the way. Either way, it's nice to be able to do you skinning without standing in blood/guts, so I like moving it over a bit. Now the deer is hanging from its back legs, where you have already started the skinning to expose the tendon, and you can start skinning.
***INSERT ADVICE FROM BUCK HUNTERS HERE - a note - I generally shoot does, for reasons that I won't go into here, so I dont' really know about the need to watch out for the tarsal gland when you're skinning the back leg. If you're going to shoot a buck, especially later in the season, I have heard that you have to be careful not to get the musk from that on the meat, but I'll have to leave that advice to someone else. For me, with the only buck I ever shot, I just avoided cutting it at all and it seemed to come away with the skin. I also avoided touching that area with my hands, if possible.
That's about it - the skin seems to come off of a warm deer pretty easily, with a bit of cutting of connective tissue on the underside of the skin with the regular blade of the swing-blade knife.
Other equipment
-a quick knife sharpener - something like a lansky carbide v-notch sharpener, or one of the pocket diamond folding sharpeners from Lansky or DMT.
-a package of "wet wipes"
-a roll of paper towel
-kevlar gloves - I bought a Rapala/Normark filleting glove from Canadian Tire. It's slice-proof keval mesh. It avoids cuts while skinning, but just as important is that it provides great grip on the hide while skinning. Very handy piece of gear.
-Garbage bags -kitchen-catchcanvas "sacks" that you can put over the deer for transport. Blood leaks through, but it keeps crap from getting on the meat itself. I pull this thing over the deer and then put it on my shoulders, or on my new deer cart (I hope - this year!) for transport to the car. A tarp in the back of the car (hopefully you are blessed with a pickup truck, unlike me!), and put the canvas-clad deer on top of that and head to the butcher!
-headlamp
-OK, so that's my method, as best as I can describe it. Works great for a solo hunter who does not have an ATV/truck/garage or some of the other resources that people use. I generally hunt alone, so I can deal with my deer where I shoot it, get it to the car, and get it to the butcher.
GOOD LUCK!
-DW