Still wondering about what HDTV is and what all the differences are? Check out this article and you'll learn lots more about it.
HDTV-ready can be very misleading, as it sometimes means the set can accept an HD signal, but it doesn't mean the set shows all 2 megapixels of full-HD picture resolution. Some "HDTV ready" TVs may actually discard most of the full-HD resolution and display an image that has been downscaled to standard definition.
An HDTV set with integrated tuner usually means it shows an image with around 1 megapixel of picture detail at 1366 x 768 (pixels, horizontal x vertical) or 1280 x 720. And full HDTV usually refers to a TV that can display the entire 1920 x 1080 resolution of full HD content without throwing any detail away.