I don't know enough yet to make a guess about the relative amounts of heat each type of system chucks out - the wet systems seem to have water going through at about 40 C (neutral room temp is about 20-22 C but radiators chuck out a lot more heat - up to 80 C, I think) whereas the electric systems are quoting output of 100 watts per sq m. Hmmmm, how I am supposed to compare like with like there then?
Anyway, my instinct is that the wet system sounds more reliably warm. Bear in mind carpet is fairly insulating, so you won't feel the benefit of UFH as much as you would on stone, and will probably need to keep the thermostat a notch or two higher.
To fit, the whole floor comes up, then a layer of insulation is put down(to stop the UFH heating the floor beneath it), then the pipes and supporting materials, then a layer of hardboard on top before the carpet. Quite disruptive and will add about 15 - 25mm to floor heights (think about how you deal with doors opening in etc).
You'll need to look at your boiler capacity to make sure it is up to the job (combination or condensing boilers are best for UFH).
Best to get a quote from a reputable company, really, they can tell you the wrinkles. I've got some names at home, so if you can wait until tomorrow, then I'll put the links up.