This video from the very talented Ed Verosky shows an example of a basic three-light setup.
A couple of thoughts: I find it interesting that they used a strobe for both the key light and the rim light, but a flash for the fill light. In my opinion, you either want to use strobes or flash. Pick your poison, and stick with it. Regardless, keeping your color temperature consistent is paramount!
I really enjoyed the graphics used in the video to diagram the lighting setup and that not everything is spoon-fed (like lighting ratios and specific modifiers) because that can really stagnate creativity.