What was the nickname of the 1970s Cincinnati Reds dynasty?

Which team switched from the American League to the National League in 1998? Which team switched from the National League to the American League in 2013? Which team has the nickname "The Bronx Bombers"? Which team is known as "The Amazin's"? What was the nickname of the 1927 New York Yankees lineup? What was the nickname of the 1930s St. Louis Cardinals teams? What is the nickname of Chicago's North Side ballpark, home of the Cubs? What is the team name of Toronto's MLB franchise?