When I did mine, that was the part number, genuine part I got from import car parts, about £26 plus postage. Taking the thermostat off should get most of the old coolant out but probably not all. Check orientation of the jiggle pin on the old thermostat (before removing it, once you've got the housing off) and install the new one same way up.
I flushed mine with rain water (from a water butt), couple of times, then with de-ionised water, then refilled. Try and get all the air out when filling (burp the car).
Did you get the "smoking" problem sorted?