Vinyl plank flooring is becoming very popular as it should be. It is virtually indistructable. I mean you could probably lay it on the bottom of a pool for 10 years then take it out and install it in your kitchen. And installing it is pretty easy, I mean you can just about do a whole vinyl plank job with nothing but a carpet knife. For the kitchen or bathroom my money would be going to vinyl plank..
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