Tackled the vinyl problem listed in this thread.
Used latex paint I got Lowes to color match the original vinyl coating.
Hand peeled the loose vinyl. Some came right off, some took a little work and some couldn't be removed without causing severe wood damage.
Exposed all the wood to be painted.
Taped off everything I didn't want paint on and painted the first coat. Four hours later I sanded it. Used wood filler to fill where the vinyl pulled off too much wood. Repeated the paint/sanding one more time. Let sit overnight and painted final coat.
Doing the same to the entertainment center next.