How you may find your Spirit Animal: I closed my eyes and let my mind wonder. For instance a very jungle or forest like scene came into my mind. I noticed several animals (Wolf, Grizzly Bear, Spider, Snake, Salamander, etc.) For a minute I thought the wolf would be my spirit animal but opposing contrary belief, it is not. I watch the Bear and the Wolf fight. Eventually the wolf was down and out. The Bear walked towards me and knocked me on the head as if saying 'I choose you' Or something like that.
Your spirit animal (In my opinion) is an animal who has died and chooses it's companion. You don't find it, it finds you. I believe they watch over you and you can always contact them for guidance or advice or just someone to talk to.
(Again in my opinion) I believe it does somehow relate to our daily life. As in noticing signs and such or just being able to sense Him/Her around you and you can just talk to Him/Her like a friend or family friend.
I'm pretty sure you can see your spirit animal in dreams or traveling along the astral plane(Not totally sure about the astral plane)
You can contact it. Signs you see can be a sign you need to contact it. If you need answers or guidance, talk to Him/Her. A way to contact your spirit animal is through divination. My personal favorite is a Spirit/Ouija Board and using my pendulum.