You're going to need an omni-directional microphone similar to the ones pictured here....
Meeting/Conference Microphones - Hagger Electronics UK - Electronic Disability Products and Induction Loops
As far as getting the software to work.... I'm thinking it's probably not there yet. A quick google search will get you quite a few links to papers discussing the issues relating to getting voice recognition software to work with several different (and sometimes simultaneous) voice patterns.
The best you're probably going to be able to get is to make a recording of the meetings, and then have somebody transcribe them afterwards. (This is why stenos get paid the big bucks.... :) ).
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