Yep, sounds like a paint stripper is your best option. Strip all the pieces.
Removing the hardware from the pieces, before stripping, is recommended, also. You don't want to damage the hardware with the stripper. If need be, mark the hardware and/or put the different hardwares, of each furniture piece, in separate ZipLock bags, to keep them distinguished from others. If other parts, other than hardware, needs to be removed, mark those, also, as to which piece of furniture they belong to.
When removing something "complicated", if applicable, write down how it is disassembled, so that you can reassemble it later. Take pics of the disassemble procedure, if need be.
Stripping will be a messy job, if you don't have a set-up for routine work, as we typically have. If you don't have a dedicated workplace, maybe get some large cardboard boxes to work on, to catch all the gunk that will be coming off, falling off the stripped pieces, as you work. Sometimes I use cardboard, to work on, to catch gunk that drips off the work.... usually when I use a spray stripper, the residue is drippy/liquid-like.
If you'll be working half a day / all day on a piece, chances are you'll eventually have gunk under foot. Maybe go to the drug store or surgical supply outlet and get some shoe protectors (like these - http://www.amazon.com/Disposable-Polypr ... B000ICKO88
).... water repellant paperish covers that slip over your shoes. They'll prevent gunk from dripping on your shoes/getting on the soles, as you maneuver around your work. With that much stripping to do, a box of 100 may be a plus.