Heh, mold removal is what I've been doing for the last 5 months or so xD
Basically, what we would do is conceal the area where the mold is in, take down the drywall/insulation, w/e is contaminated, bag it, throw it away. All the while running air scrubbers(also called negative airs), taking the moldy air and forcing it out the window using a duct: http://www.deadmold.com/files/Forceair2000.jpg
Since mold spores linger in the air, you have to flush it all out and replace it with good healthier air. Once we are done taking out the infected areas, we will leave the air scrubbers running, without the ducts, so its basically moving the air inside around, collecting the spores/cleaning the air.
Then we will wipe everything (ceilings, walls, floors, EVERYTHING) with this cleaning solution called Benefect: http://www.benefect.com/. Then we will vaccuum using HEPA vacs, which use filters that are able to collect the spores and contain them. We may have to repeat the hepa vac and wiping again the next day, all depends on how big of the job we are doing. Then we will use what Phantasm said, the Killz2 Latex Primer. It's excellent for containing and repelling mold.
Then finally, we will take everything out and, again depending on how much the mold has contaminated, we will fog the room/house using an anti-mold fogger: http://groutmasters.ca/july2010/Fogger_noJug.jpg filled with Microban: http://www.baneclene.com/catalog/microban.html.
Now, we don't usually work for private people, so we work under the bank, and well, usually there will not be furniture (cause we already did a cleanout earlier(which is fun cause sometimes you can find pretty cool stuff, specially in grow op houses cause they usually leave everything, and after the police come in and snip the plants, we even have to clean out the pots *breathes deep*)).
Soooo as far as cleaning the furniture, I have no experience, but perhaps you could use Benefect, it's all natural which is a plus. ...crap...there goes the company secrets...oh well...hey, if anyone thinks of making a mold removal business, contact me for a royalty check please XD