At the time of death, it is our physical body that ceases to live;
however, our spirit body, with our soul, is alive and the process by which
it passes - to the next phase of its existence into the spirit world - is
explained in detail in the following Padgett messages.

What does the spirit of man do when it leaves the physical body foreternity.

Helen Padgett’s experience of passing into the spirit world

Amazingly, the spirit world is very similar to what we are
familiar with here, as the earth is the image of the spirit world.  There
are several spheres and the homes where spirits reside are suited to their
soul’s condition, whether it is in temporary darkness or light, and as
spirits progress by the purification of love, their homes and surroundings
change and become more beautiful to reflect this love and light.

Ann Rollins describes several spheres and the different kinds of spiritsinhabiting them

This is an area of the earth plane between the darkness of Hell
and the light of Heaven in the second sphere.  The spirits who reside here
have found their comfort zone and are satisfied with the degree of happiness
that suits them.

The conditions of spirits in the twilight zone and their progress in the natural love

A very controversial subject, and the reason for this is because it varies,
the condition of the soul determines the locality of the spirit, when the spirit body
enters the spirit world it must go to and occupy the place which its enclosed soul condition
determines that it shall occupy.

Spirits' experience when entering the spirit world and their progress

What does the spirit of man do when it leaves the physical body for eternity?

No, there are no animals in the spirit world, the spirits can create spirit animals though.

There are no animals in the spirit world