I will answer without pictures. The waterfall veneer sets were made during the art deco period of the 1930-40's.
The waterfall style was produced by all American furniture manufacturers during this time with mixtures of light and dark veneers and brass, metal and/or bakelite plastic hardware.
Blonde veneer Art Deco waterfall bedroom set values as follows;
$250.00...triple dresser w/mirror , If you mean that this is a vanity that a lady would sit at to do makeup, then the value of this piece is $350.00
$350.00...bed w/head and footboard (few chips),
$175.00...5 drawer chest (few veneer chips on the edge of 2 drawers)
Some sites that I recommend are Varagesale.com, Chairish.com, Ioffer.com, Furnishly.com, Deconet.com, Lushpad, Krrb.com, and letgo.com.
You can also go to invaluable.com or liveauctioneers.com and search their directory for an auction house near you and consign to them.
To finish, I will need you to click the five stars at the top of your screen and hit the submit button, thanks!