The word driver is more general - anybody who drives a vehicle is a driver. You are a driver when you are driving your car. Some people work as bus drivers and taxi drivers (the drivers of trains are usually called conductors).
A chauffeur is a person who is employed to drive a car for a private individual. Rich people and celebrities often have chauffeurs so that they do not have to take public transportation, or drive themselves.
All chauffeurs are also drivers; not all drivers are chauffeurs.
In peacocks, it might be difficult to tell if the bird is albino or have a genetic mutation called leucism. Both albino and leucist peacocks are entirely white but albinos have red or pink eyes while leucists have blue eyes.