The companys that do it privatly are $$$$$ and they can be done in any hospital. (eg cryosite) It is a scary thing for MW to do as they worry about not getting required amount or blood clotting etc but is done. From people I have known through work to do it, they are sent a collection kit and esky to there home a few weeks before EDD and they bring it to hospital with them and once collected ring a specific number for courier to pick up cord blood and take to where ever it has to go.

Hope that helps