Boy howdy, that kitchen has a ton of money thrown into it. The wall finish was prohibitively expensive. If you've got regular old drywall I can tell you how to go about getting a similar finish without skim coating in plaster and adding all the texture. First off; go to a real paint store, (not a box store) do you have Miller Paint? I've faux finished every home I've owned, it's time consuming and requires some technique......deglaze walls to be painted with TSP and absolutely remove
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every bit of dust and haze with a non-oiled tac cloth. Prep is essential, apply joint compound over nail pops and holes and sand it out. Clean it up again with tac cloth and vacum the crap out of it with a soft bristled vacum attachment. Apply primer, (either or acrylic or oil based depending on how you'll approach your wall color and glazes, oil is always a better choice albeit higher voc's and dry time. You'll have to choose your wall color and your glaze tints; both are available in acrylic or oil. I've used Ralph Lauren glazes which are acrylic and it's fine but even after six months of curing they are still easy to damage. Roll on field color with 8" roller with appropriate nap for your wall texture (should be a smooth wall and if it is 1/4" nap on a DOVE brand roller is good). Allow more than ample dry time or you'll end up with a tacky mess. The paint may say you can recoat in 8 hours but hold of and wait 24 to 48 hours. This faux finish can somewhat be accomplished with a soft stipple brush and two glaze colors or a really saturated small rag or natural sea sponge and two glaze colors. Work in small irregular drifts so you won't end up with defined lines on the wall. Be prepared to do one entire wall in one glaze color at a time, it's important not to stop mid-wall. Corners where walls meet are a challenge, it's a good idea to practice before you attempt the real wall or room. Absolutely frog tape everything that you won't be painting; baseboard, window trim, etc. Box stores will sell you products that they swear will work, Behr, etc. They're all substandard products, their pigments are horrible and the body of their paint is ridiculously thin. Parker Paint is a decent alternative but don't put all the time in on this finish with inferior paint products, spend the $45/gallon on the paint (glaze is more) and buy good brushes, etc. and you'll get a much better result. I've attached a photo of a room I just faux finished. It's a close second to the photo you posted and far more reasonable for a diy'er. I used small bits of really good cheese cloth but you could easily use clean white tee shirts (without the seams). If you do pull out the big guns and use plaster Modern Masters is the manufacturer to use....they're online if you don't have a local resource. Have fun!