Put your camera away and only use it once you need it. The only other thing would be to get an underwater camera or waterproof case. You will always get dust on the lense if you leave it out throughout a build. To fix a dusty lens just buy a lens cleanse kit.

GoPro is what I see several people use that do woodworking videos.

I use a Canon Eos Rebel, but I am thinking of getting a GoPro.  I am thinking of shooting video for my son so he can learn from me after I am gone.  My son has a learning issue and a problem with short term memory, but  he does learn by repatriation, especially when he can see it.  So I going to give it a shot.

I have heard it said that the best camera is the one you have on hand.  I've always favored portability and durability, so even a $100 Canon point and shoot makes for a good shop camera.  If it breaks or suffers from hard use, it's not as big of a loss to swallow.

I'd get a Pro level DSLR, a Canon 7D Mk2 has extremely good dust and weather sealing, and combine it with a Canon L lens and you shouldn't have any dust problems.  (obviously don't change lenses and keep the cap on while in a dusty shop).  I've used my 7D in the shop for years without any issue and its dust sealing isn't nearly as good as the Mk2, or of the more expensive cameras.

GoPro's are cheap, and can be useful in a small shop where their wide angle can be useful or for getitng into small spaces.  However their image quality is not the best in an indoor environment.  They are designed to be used outside where there is a ton of light.  Indoors even in a well-lit shop they don't perform as well.  I use one for most of my videos and even with a good bit extra light from some softboxes, the image quality isn't what I would want. 

*shameless plug* If you want to see how the GoPro performs, I've been using it for my Youtube videos, here is the latest one:

Where's the Kapex? 

Hah! Its actually on the floor behind the camera.  I'm debating doing a video comparing the two, but its a bit silly considering the price difference.  Although honestly I'm not sure I like the Kapex better, haven't had it for long though.

homemade hood: clear plastic bag with hole cut out and rubber banded around  lens or even saran wrap, etc.  you can leave it loose enough to  allow movement for various functions.  if you've got an uv filter on lens, it should be safe enough to blow dust off it with your compressor nozzle in between takes.  you can use a lightly sticking masking tape to mask around necessary sensors if you don't want to switch to full manual functions.  and like it's been suggested, keep it on a tripod out of the fray and covered until it's time to take a photo.  they also make soft rain protection bags for cameras that are cheaper than the hard underwater cases that are usually model-specific--check adorama or b&h photo.  it shouldn't be that hard of a problem to solve.

Mind. Blown. Thanks for this. I would totally go the saran wrap method if I ever needed to do something like this.

In regards to the OP- If you're a Canon guy (it sounds like you are...?), then you definitely need to step it up to the 5/7D series. Those are where they start their pro level stuff, which includes all the dust and weather protection. But as others have said- it's only protected when it's already sealed, and the pro lenses (red rings) are the only ones that fully incorporate weather sealing. That said, a filter is also a very good idea because it would serve to protect the lens from the dust, as well as be considered a consumable that you don't need to be as careful with.

Then, what everyone else said- keep it covered until ready to shoot, then cover it back up. One ideal thing would be if you could tether it to your computer and maybe even tether it to a computer in a clean room. I know there is also ways to wirelessly tether the cameras to your computers, although I've never done it, nor am I familiar with it. I have a 5D Mark III that I love, but I would say even the 7D would be phenomenal for what you want to do. All that said- even the 7D will make massive sized pics ideal for editing and shrinking to magazine size.

Dust is a bugger though, and you just need to make sure to always clean the camera thoroughly before you change the lens/open anything etc, and to always change it in a clean area.

I'd want a macro lens, personally. You could look at cameras that accept legacy lenses in order to have some cheaper available ones. It makes a lot of sense given that you don't auto focus for videos, nor need to/want to for other shots. Well, that kind of depends on what mic you use, as no one likes to hear autofocus (real film crews for big movies never use any sort of autofocus, they got guys under the lens with their own script for adjustments, and a spotter that comes in during lens swaps cause they cost $60k).

1080 is a must for resolution. You'll always be better off with someone filming you with a gimbal or something for moving around, compared to a GoPro.

oh and with a waterproof camera you can just wash the dust off!

I'd go with a cheap digital compact, tripod and zip-loc bags.
I'd never ever expose my lenses/DSLR repeatedly to that kind of environment.
You control the lightning in your shop, so you don't need 'fast' lenses.
Why would you buy a camera that's made for action shots? The stock ain't gonna jump at you, i believe..
You want to publish on the internet, so you're using JPEG- files? What kind of sensor resolution do you really need? Nowadays almost any point and shoot will satisfy your needs for resolution.
Good luck!

Stu: you're meant to cut a hole in the ziploc-bag and put the lens through the hole. Then you use gaffertape or a rubberband to seal the hole.

instead of pricey GoPro i like my Xiaomi Yi camera,
http://www.gearbest.com/action-cameras/pp_153557.html?wid=2

pros:
2k 30fps video looks very good,
Very well priced,
controlled by smartfone over the wifi,
battery last way longer than in any gopro,
it is lighter then gopro,

cons:
waterproof case and memmory card isnt included in the set,