Question:
What is that water basin at a shrine?
Answer:
It's called Chozuya or Temizuya. 手水舎(ちょうずや・てみずや)
That water basin is, where we purify ourselves by washing our hands and rinse our mouth.
Actually, this is affected by Shinto, in which purity is very important.
Pic: http://ja.wikipedia.org/wiki/%E3%83%95%E3%82%A1%E3%82%A4%E3%83%AB:Chozuya_at_Meiji-jingu.jpg