By Piya Sinha-Roy and Lisa Richwine LOS ANGELES (Reuters) – When fictional columnist Carrie Bradshaw helped HBO grab its first series Emmy award in 2001 for comedy "Sex and the City," the premium cable network's main competition came from broadcast networks CBS, NBC, ABC and Fox. Today, the field fighting for Emmy glory includes contenders from the past few years like basic cable channels AMC and FX, but also the much talked-about rookie, the video streaming service Netflix. And then there's a resurgent PBS, the U.S. public television channel. …