I switched to Android yesterday from the iPhone. In the Contacts app there appears to be no way to add a personal contact under the business name. If there is no way to do this (and are you kidding me if there isn't) what contact manager do you use instead of this one?
Add contacts as normal then create a group for the company. There is a whole tab dedicated to groups. This allows individuals to belong to multiple groups. For example, a company contact could be in a personal friend group, family group, whatever you need. If you need to manage a whole lot of contacts & groups at once during your initial transition it would probably be easier to use the contact manager on a PC which would sync back to the phone.