house-sized rock would make a nice crater, but wouldn't really have any global implications
the "tunguska" event in 1908 was likely a comet, not an asteroid, that exploded in the atmoshphere and didn't actually hit the ground - however, if that event repeated itself today over a populated area, bad place to be for a while
A nuclear winter has nothing to do with radiation...
An object the size of Texas would likely be detected months in advance, but I don't know for sure that we have the technology to do much about it....I'd imagine there would be a series of missile/rocket launches at at, likely nuclear in nature.....
I think they would find a crack team of the best oil-rig drillers in the world, make 2 custom space shuttles, and send in the boys to land on the object, plant a bomb, and get the heck out of there.....