Hi. Most of this transitional rug is beige/brown:

with this rug red pillow/ throw:

great ideas! Thank you

Rug size should be wider than your hearth and 18-24" longer than the sofa.

With the dark furniture, I'd put a light (cream colored) rug in the room. Seeing how nice the light throw looks draped over your sofa, I think a light rug on the floor would be great. Nice space!

thank you!

Gorgeous room. Love it. Now I know why I often see it suggested that you start with the rug, difficult to add at end. Good Luck

I see something like this (or similar) could work in your room. This one is from Williams Sonoma.

Some more neutral ones from WS:

Ideaplace222 has it spot on.
don't add any more color than this and please no more pattern.
Karen & Joseph
for Decorative Philosophy

In addition to getting a light, neutral rug, I might also change the chair pillows to a light color. I also see you have blue in the art and in a few accents. I might just slightly reduce the red accents and slightly increase the blue accents. All of this to lighten (and cool off) the room just a bit.

http://www.overstock.com/#/Home-Garden/Hand-loomed-Aspen-Casual-Solid-Wool-Area-Rug-6-x-9/8912175/product.html
I have this rug. It's simple and inexpensive.

It comes in several colors.

This might add a bit of movement and excitement, but only seems to be available in small sizes on Houzz. Might find a larger version elsewhere.