They should be new. Unlike the Inquisition, who knows pretty much everything, these guys are finding it out for the first time and will make many mistakes along the way. They will work transparent, everyone double checks each other An Ethereal should lead it, ofcourse, probably a council of them. They should be easy to reach, as they will want to keep tabs on their guys, to make sure they stay on the greater good.
Having said that, each research team works indepentently, though there is a free flow of information between them.
Since its a new orginisation, its power isn't great, though its importance is quite paramount. It cannot claim controll of a hunter cadre, but it can join with it and have it render all information to them.