They have two powered systems that would be most applicable to woodturners ... the Airstream and the Versaflo.
The Airstream AS400 is all self contained except for the battery. I have used mine since 2006 and really like it. It is rated to provide 10 CFM of air. I noticed that the prices for filters and replacement parts have gone up by a factor of at least three times what they were back when I originally bought the system. There is only one option for the filter ... AS140 HEPA particulate filter. It's a very large sock type filter that lasts a long time. The NiCad battery is part number 520-01-02. It weighs over a pound and is worn on your belt. It holds enough charge to run nine or ten hours. I have been bothered with neck pain for several years, but I can wear the Airstream comfortably for several hours until my lower back pain tells me to quit for the day. The main disadvantage is the noise, but it doesn't bother me. There are optional ear muffs that attach to the helmet and eliminates most of the noise. I have earmuffs, but don't use them much anymore. There are two choices for the battery charger ... the standard charger and the smart charger ... definitely get the smart charger, part number 520-03-73.
The Versaflo system is the Cadillac of powered respirators. However, there are probably fifty or more configurations to customize it to your needs. You can choose a basic faceshield, a hard hat, or a helmet. Also, for painters and chemical sprayers there are soft hoods that drape over the head and shoulders. I have the Versaflo M-407 that has a flame resistant visor and shroud that drapes over the shoulders. It is CBRN rated (chemical, biological, radiological, and nuclear) which is obviously way overkill for woodturning, but I found it brand new on eBay for about $150. For woodturning I think that the M-305 or M-307 hard hats would be ideal. If you can find the M-405 or M-407 for a bargain price then go for it and remove the shroud. The main disadvantage of the M-400 series helmets is the jaw piece that makes it more cumbersome to don and remove. The double shroud adds to making it cumbersome to put on and take off. There are several different blower units that are part of the Versaflo system and there is also the BreatheEasy blower unit (022-00-03) which is what I use along with three HEPA filters (450-00-01). If you go with the BreatheEasy blower unit then you should get the BP-15 NiMH battery and BC-210 smart charger. It is interesting that 3M still produces the battery, but not the charger ... however, that's not a problem because there are plenty of the chargers on eBay for $25 to $50 that have never been used. The battery that I bought was several years old, but still in the original sealed package and it's working fine.
Here is a very long thread on the
Versaflo M-407 that has a lot of useful information and I think that it is worth wading through to gather useful information. Emiliano and I learned as we went through the process of building up our Versaflo respirators from parts that we found on eBay. I found a 3M tactical vest for about $40 that was designed for a different 3M respirator, but it was easy enough to mount the BreatheEasy blower unit on it. The Versaflo blower units are less bulky and lighter than the BreatheEasy, but you'll pay quite a bit more for them.
I'm not familiar with the 3M respirator that Jason uses, but it appears to be a negative pressure respirator instead of a powered unit. Nothing wrong with that, but I'm really spoiled by the huge flow of fresh air across my face from my Versaflo/BreatheEasy hybrid.