The most common, since Victorian times is the hearse. A large stretched vehicle with windows to view the coffin, with room for displaying flowers on the top of the coffin and at the side. We currently run a Mercedes hearse, but like the limousines have options on other vehicles if specially required by a family.
The horse and carriage has seen a revival in recent years. Funeral Directors generally do not own horse and carriages, merely hire them in from specialist operators.
Both horses, and carriages can be white, or black with a variety of plume colours. They are generally used for small journeys, from house to church and church to burial ground. They are rarely used (especially in our more rural setting) for trips to the crematorium, unless the church, or house is nearby.