So your thinking about new carpet and your kind of underwhelmed when you think about it. And to tell you the truth I think about If I wasn't a floorcovering installer . The task of replacing floors would not be fun. .Hopefully someone in your family is a floorcovering installer.
15 by 14 is 210 Sq ft which is 23.33 yards If installation is 5$ a yard Pad is 3$ a yard. Carpet you get a 12 $ a yard carpet (med. Grade) So right at about 500$ is what you'd be looking at