I want to go Beijing west railway station from capital airport by shuttle bus service or normal bus.

You can take airport shuttle bus line 7 to the west railway station directly and it costs CNY24 per person.

The shuttle bus ticket counters of T3 is located at the outside Gate 7 on the 1st floor. And the pick-up station is located at the West Gate on the 1st floor, T3. You can also find the ticket counters and boarding sites at T1 and T2.