animating in unity

I have cube which I move to exact location by using movetowards function(in steps of unit). Now I want that my cube should have some animation while moving to the new position. The problem I am encountering is my cube moves to the final position and then the animation starts playing not during the movement. What should I do now?(I have animated the cube in unity itself not imported the animation from other software.)

public class playermovement : MonoBehaviour {

 public float playerspeed=10f;
 Vector3 moven;
 bool ismoving=false;
 public Animator anim;
 
 void Start () {
     anim = GetComponent<Animator> ();
 }
 void Update () {
     

         if (Input.GetAxis ("Horizontal") > 0) {
         moven = new Vector3 (transform.position.x+1,1,transform.position.z);
             ismoving = true;
                anim.Play ("move"); // I have made this animation in unity itself.
         }
         if (Input.GetAxis  ("Horizontal") < 0) {
         moven = new Vector3 (transform.position.x-1,1,transform.position.z);
             ismoving = true;
         }
         if (Input.GetAxis  ("Vertical") > 0) {
         moven = new Vector3 (transform.position.x,1,transform.position.z+1);
             ismoving = true;
         }
         if (Input.GetAxis  ("Vertical") <0) {
         moven = new Vector3 (transform.position.x,1,transform.position.z-1);
             ismoving =true;
         }
                 
          
     if (ismoving == true) {
         moveplayer ();
     }
 }

 void moveplayer(){

     transform.position = Vector3.MoveTowards (transform.position,moven,playerspeed*Time.deltaTime);

     if (transform.position == moven) {
         ismoving = false;

     }

 }

}