Rich hand says , he's never experienced dye transfer, in over a thousand jobs.
Unless you are placing glides or similar under the furniture, before you start, there is no way you could avoid dye transfer, unless, of course, you are using chemicals which have eluded me for 20 years, or there's something you're not telling us.
I got dye transfer a couple of weeks ago, totally unexpected, from the "feet" of a leather suite and always expect it from any dark stained furniture.
robbie