The interviewing company indeed usually picks it up, although that depends on your level.

I strongly suggest you brush up on networking. It's a stupid buzzword that is badly overused, but I have discovered that it really is the key to getting a good job. "It's not what you know, it's who you know" is a very accurate statement. The best jobs come when someone you know says, "Hey, I need someone in this position. Come on by." In my experience, which believe me is extensive, the positions that are advertised are almost universally already filled by the time they hit print.