I would say your first mistake is relying on Word Faith heretics like Hinn and Copeland for anything.
I think there is a case for both bipartite and tripartite. Meaning I am not sure it matters.
The best theology book I have ever read is Theology for the Community of God*, by Stanley J. Grenz. He does have a chapter on The trichotomist and dichotomist viewpoints, and first presents Augustus Strong's view, in that the human person is a "substantial dichotomy" and a "functional trichotomy". The dichotomists are correct concerning the human ontology. The human person consists of only two substantial entites. But the trichotomist understanding also reflects a truth about the human essence, namely that we have the capacity to relate to God (spirit), others or ourselves (soul) and the physical world (body).
He goes on to say that modern theologians tend to reject any concept of multiple substantial entities. G.C. Berkouwer capsulized the modern findings:
"We can say that in our times, under the influence of Biblical research, a fairly general consensus of opinion has arisen among theologians. They are increasingly conscious of the fact that the Biblical view of man shows him to us in an impressive diversity, but that it never loses sight of the unity of the whole man, but rather brings it out and accentuates it."
Christian philosopher of science, John Polkinghorne calls for a unitary anthropology. The human person is a psychosomatic unity, an animated body, who "is able to participate in a noetic world of ideas and purposes, as well as being able to act within the physical world." However, this is not a modern invention, but rather goes back to Gen. 2:7 with the terms ruach (spirit) and nephesh (soul). We are living souls.
The book is much more detailed than this, and a good starting point to drop all these old concepts and find a holistic human being, instead of something divisible, where there is no real division.
*158-161.