Move relative to objects rotation (C#)

Questions & Answers
1

How would you make an object move based on the objects rotation, I have this:

if(engineReady){
		float tempPitch = pitch / 1.66666f;
		tempPitch = (tempPitch - 30.0f) / 100.0f;
		pitchDegrees = tempPitch;
		heliSpeed = Mathf.Abs((tempPitch * 100.0f));
		
		heli.transform.rotation = new Quaternion(pitchDegrees, heli.transform.rotation.y, heli.transform.rotation.z, heli.transform.rotation.w);
		
		if(curHeight < 0.01){ heliSpeed = 0.0f; pitch = 50; }
		
		if(pitch > 50){
			heli.transform.position += Vector3.forward * (heliSpeed * Time.deltaTime);
		} else {
			heli.transform.position -= Vector3.forward * (heliSpeed * Time.deltaTime);
		}
		
	}
	
	// ===== Yaw ======= //
	
	if(Input.GetKey(KeyCode.Z)){
		if(engineReady){
			heli.transform.rotation = new Quaternion(heli.transform.rotation.x, heli.transform.rotation.y + 0.05f, heli.transform.rotation.z, heli.transform.rotation.w);
		}
	}
	
	if(Input.GetKey(KeyCode.C)){
		if(engineReady){
			heli.transform.rotation = new Quaternion(heli.transform.rotation.x, heli.transform.rotation.y - 0.05f, heli.transform.rotation.z, heli.transform.rotation.w);
		}
	}

But .forward always follows the global Z axis.

2

transform.forward