Look closely at the verse you cited:
You who laid the foundations of the earth, So
that it should not be moved forever, Psalm 104:5
Forever?
But God has told us that heaven & earth will pass away & he will create a new heaven & earth.
The whole council of scipture is an important guideline for Bible students.
Building a dogmatic stance on one verse can lead to some strange conclusions that don't line up with scripture as a whole.
Especially where poetic, metaphorical language is employed.
God firmly established The Earth. He made it to endure. That doesn't mean it wasn't made to function as a rotating object.
The verse that tells us
God is not a man that he should change his mind- doesn't nullify intercessory prayer or the fact
that he made a new covenant. Or that he became man to save us.
God is not the author of confusion- shouldn't lead us to believe that God doesn't confuse the enemy.
I believe God created the cycle of day/night, months & years as recorded in Genesis 1: 14-19. The only model that accounts
for what God described there is a heliocentric solar system.
Kindly cut the "you-don't-believe-the-bible" rubbish.