This is a regular verb. It follows the conjugation pattern of the verb comer.
Present:
A Ana move a cadeira para mais perto da mesa.
Ana moves the chair closer to the table.
Preterite:
O Miguel moveu o carro ontem.
Miguel moved the car yesterday.
Imperfect:
As folhas se moviam com o vento.
As folhas moviam-se com o vento.
The leaves were moving in the wind.