I used wall-mounted vanities in the Park City house because I like preserving as much floor area as possible, and because I envisioned using some kind of under-vanity lighting as a “night light” for the bathrooms. I had the electrician wire in switched outlets for each vanity. It took me a year to get around to the the lighting. Here’s what I figured out.
IKEA sells LED lighting strips with power supplies (“Ledberg”). These are roughly 24 inches long and they have a modular connector system so several can be ganged together. I simply mounted these to the bottom of the vanity about 3 inches back from the front edge with the cord fed through a hole in the bottom of the vanity.
This was easy and inexpensive. The light color is a little cooler than I’d like, but overall I’m pretty happy with the results.