I just wanted to update this page with a different presentation of chicken paprikash that I've been making lately. It's not quite the traditional method outlined above, but it creates a similar tasting product and has the advantage of a more elegant presentation with a crispy skin, which the usual method does not produce.
It's pretty much just a standard braise. First, preheat an oven to 400. Instead of stewing everything together, start by frying some chicken thighs in fat (I prefer lard or chicken fat) for about 3 minutes a side over medium-high to high heat. You want to get the skin golden, but not really browned, as they'll finish browning in the oven. Place the chicken thighs (or whatever chicken parts you're using) and put them aside somewhere.
In the fat that's leftover, sweat your chopped onions. I like to stray a bit from tradition here and get them browned and caramelized, about 10-15 minutes over high heat. When they're like I want them, I remove from heat and add the paprika, stir around for a minute to distribute and slightly cook. At this point, I add about 1-2 cups of chicken broth, preferably homemade. (I like to boil up chicken thighs for the dog, so I often have a light, unflavored chicken broth lying around that is perfect for this application.) Mix together. Place your reserved chicken thighs in the pan, making sure the skin is above the liquid level. Place in oven, cook for 45 minutes at 400.
When you're done, you should have nicely cooked chicken thighs with a crispy skin. Remove these and continue the recipe adding in the sour cream (or mix of sour cream and cream) and flour to thicken the sauce. Serve.
Just throwing other ideas out there. I've grown quite fond of this method, although it strays from tradition a little bit. With the chicken fat I use and the homemade broth, it still retains the basic flavor profile, but has the advantage of getting that nice crispy chicken skin.
I know it's not rocket science, but it never occurred to me until recently to apply this braising method to paprikash. I encourage lovers of this dish to try it and see what they think.