size doesn't matter, its the screen resolution that counts. the higher the screen resolution is in the screen, the more dots(pixels) can fit in it. and the more pixels that fits in it, the better picture quality you get. this is called pixel pitch, or pixel density, the denser it is the better it is. but the more pixels there is to be shown, the heavier it is for the GPU to render.
well back to the main topic, the bad part is, you my friend, just got screwed XD but not entirely, that 1920x1080 resolution can be had for 21.5inches monitor, try googling this model number AOC E2240Vw, plus this monitor can be had for less than £200. a good monitor 32inches of size mostly has 2560x1600 resolution and the one you brought isn't a monitor but a TV, which has lesser pixel density standards than monitors.
the good part is that, your graphics card can handle it, even if its only just one, =P no need to get another to crossfire later, a HD6970 is designed to crunch 1920x1080p and even higher resolutions.
now my question is, is that really a LED screen TV? or just some HOAX branding LED backlit LCD TV?