HD Ready usually means that the screen displays at a higher resolution than "normal" TV but not at "proper" high defintion.
What you want to really find out is the actual resolution of the screen.
"Full High Definition" will be labelled 1080p, that means that the screen is actually 1080 dots high.
"HD Ready" is, if I recall correctly, more properly known as 720p so the screen is 720 dots high. So higher than normal TV, but not as high as "full".
Sitting in-between the two is 1080i, this means that the screen is "interlaced" and flashing up two images rapidly that your eye sees as one, the same technique as normal TV signals. The screen is actually "only" 540 dots high but the flashing images make up what seems to be a 1080 dot image.
So you'd think that "full" 1080p is the best.
Well kind of.
BluRay players will output video at 1080p.
However Sky HD is "only" at 1080i, so if that's going to be your only source of HD signals then you may not see the benefit of a 1080p TV.
So have a look at the actual numbers behind the TVs your looking at.
And then look at the numbers provided by what you're viewing.
Personally I'd go for 1080p...