With the beaters attached to a hand mixer, or with a separate hand potato masher, coarsely mash the dry, cooked potatoes
Now, ladle in 2 ladles of hot potato broth onto the coarsely mashed potatoes and begin beating on a low speed.
Repeat by adding 2 more ladles of potato broth on to the mashed potatoes, and gradually increase the speed of the hand mixer.
Add 1/2 tsp of salt, mix, and taste for saltiness and texture, at this point we're still a ways from the final mashed potatoes, but it's good to get an idea of just how far.
Add 1-2 more ladles of potato broth, and ½ tsp more salt, if desired, mix on medium-high speed now.
Add in roughly ½ cup of the sour cream, mix, and taste. No need to measure that sour cream with a measuring cup, just eyeball it.
At this point, you're at the final stretch. Use your senses to adjust for saltiness (by adding more salt), creaminess (by adding more broth), and tanginess (by adding more sour cream). Note that the broth is not very salty, so whenever you add more broth, that may necessitate adding a bit more salt.
Once the balancing is complete, your final taste test should leave you with a smile on your face.