First step: Figure out how many different needs for chairs you could size down to. I recently ordered T-Shirts. There it was all sizes, each size in a male fit and a female fit. Color and style were fixed. It is not a good example, but I hope you get what I mean. Maybe you need chairs with/without arm rests, chairs for petite/light people, average chairs and chairs for heavier or maybe taller people. Keep it as little options as possible while offering everything that is needed in a normal office setting. (Very special needs will always have to be addressed as such separately and you might have to order 2-3 chairs separately for that.)
Then you can send around the list and let everyone choose their most fitting option. Now you might get requests for the very special needs. Again, they are not part of this mass order probably so you can decide if you take this up now or later.
Now contact suppliers, with the list of your needs. Ask them to provide quotes for an order like this for different styles of chairs. Ask them for mass order deals. Maybe even add the "very special needs" option and ask them if and how they can handle that. Ask for their input. If they are good at what they do, they can give you input what would be good chairs for every need. They have to explain to you how models can be adapted, if there are different types of the same model which fit your needs and so on.
Choose the best offer and order.
This will hopefully deter most of the problem to people you are paying for it (the chair vendor).