What most naturally follows?

How to take care of outdoor exotic animals
Make a living space for them.
Not only do you need to make a nice living space for your animals before you even get them; but you need to follow and, most often, exceed local or federal laws about minimally required spaces for each species.
Depending on the type of exotic pet, find an empty pasture or clear a space on your property that's about one acre long.
Fence the area and remove any hazardous items. Buy or make a gate for the front of the pasture.