Best way to - Animation Sync - Multiple gameObjects.

Hello everyone.

I'll cut straight to the point.

I created 4 gameObjects, they resemble a human.

1.Body 2.Hair 3.Shirt 4.Legs

The idea is that when I press a button the Body moves. There's a problem:

Sometimes when I click this button multiple times, the animations get out of sync. You see, as you can imagine, the idea is that everything moves with the body.

Is there any way I can bypass this?

Here's what Im doing:

GUI Button:

 void OnGUI () {
 
 _rightButton = RightButtonClicked();
 }
 

RightButtonCLicked:

 private bool RightButtonClicked(){
 
         return GUI.RepeatButton(new Rect((Screen.width - BUTTON_WIDTH - 10),Screen.height - (BUTTON_HEIGHT * 2),50,50),"", "Dpad_ArrowR");
 
     }

Now, In update I check if _rightButton == true, if it is Do this:

 public void MoveRight(){
 
         _playerAnimManager.SetMoving(true);
 
         //Moving Code...(transform..etc..etc)
     
     }

Now, here's player Anim:

 public void SetMoving(bool isMoving){
 ///_anim represents the body.....
         _anim.SetBool("isMoving",isMoving);
 
         if(_bodyController != null)
             _bodyController.SetMoving(isMoving);
         
         if(_legsController != null)
             _legsController.SetMoving(isMoving);
 
     
 
         if(_hairController != null)
             _hairController.SetMoving(isMoving);
 
     }

Is this the proper way to be doing this animation? **When user presses the button multiple most of the times the animation gets out of sync....how can I solve this!? its pretty frustrating. I've checked the animation speeds and transitions, they're all the same...