The King stones are on the more cheaper end of waterstones, but still should give good results. From what I have read, they are very soft and require frequent lapping(flattening) to maintain a flat even surface--something to keep in mind. I have used shapton glass waterstones, and they cut pretty much almost any steel and require minimal flattening as they are very hard. On the flip side, the shapton glass waterstones were the first waterstones I purchased. While I can get great results with them now, it took some time as the stones are very hard and do not have as much feedback compared to other stones. In any case, great stones. My favorite stone of the ones I have is the 500 grit. Nubatama stones are also supposed to be very nice, but I only own a 150 grit nubatama bamboo and non of the higher grit stones.
All these stones are still on the expensive side and I wholly agree with the logic of spending more, but spending once. If price is a huge factor though, and you want something from the low grits to the high grits, I'd recommend the washboard by Heavyhanded here on this board. I own one, and they are very convenient to use while providing great results. It uses sandpaper, but it'll last a long time as long as you use light pressure and clean the sandpaper.