We reproduce studio lighting at home with off-camera flash. Currently our setup is a cloth backdrop with two umbrella stands, and the off-camera flashes are two Nissin Air Commander with Di700A for Sony.
A simple one-light setup is easy to do and results in a classic look, especially when combined with a black backdrop.
We use a second umbrella stand to create different looks. You can see the second light source shining on the hair or reflected in the eyes.