One question I have is how either of these
handle liquids that might accidentally get into where the pump does the
suction from the bag..

I have an older version of the Foodsaver and for the most part it works
great. Here's a tip to help keep liquids from getting sucked into the "well"
and motor.

Fold a paper towel the width of the bag your using. Place it inside the lip
of the bag (above the meat), it will absorb the excess juice preventing it
from entering the well. This method is similar to the method butchers use.
(Butchers often place a pad under meat products prior to packaging.) Simply
discard the paper towel upon opening.

http://budget101.com/ask_liss.htm#2