Did God really say we should avoid psychics, tarot card readers and fortune tellers?

Yes … yes he did.

Sort of.

What God said was: A man or woman who is a medium or spiritist among you must be put to death. You are to stone them; their blood will be on their own heads. Leviticus 20: 27

A medium is said to have psychic abilities but not all psychics function as mediums. The term clairvoyance, for instance, may include seeing spirit and visions instilled by the spirit world.
https://en.wikipedia.org/wiki/Mediumship

Spiritism is a spiritualistic philosophy and the study of “the nature, origin, and destiny of spirits, and their relation with the corporeal world.”
https://en.m.wikipedia.org/wiki/Spiritism

Christ said “Each day has enough trouble of its own.” Matthew 6:34. Place your future in God’s hands and rest in peace.