After removing all the peeling paint from the vanity I took a sanding block with a medium grit and scuffed the surface of the vanity so the paint would properly adhere to the vanity surface.
Then I took extra precautions by painting the vanity with an oil based primer. I used Zinsser Cover Stain Primer.
One the primer dried I painted the vanity with Behr Shimmering Pool P440-1.
I applied a few coats and then sealed it with a clear satin furniture seal – Minwax Polyacrylic Protective Finish.