Google analytics is way better now than it was a few years ago. There is live traffic that woopra used to do..but with Google its free. Plus with Google you get so many benefit s like market segment data, shopping habits, and loads of demographics. So ya def put Google analytics. Only downside is that they want you to buy Google ads to see if you are getting traffic from Google. Its a bit weird.
But they will show traffic from bing, yahoo etc by keyword. But if the traffic comes from Google it won't display the keyword the user searched for to get to your website.