Thanks! I like that design, and our floors DO have some tan brown spots, but as a whole they're very grey, so ideally I'm looking for something in a lighter toupe / grey tan. That rug would be awesome in a tan.

If it were me, I would go with something contrasting the gray... perhaps something with a beige tint. You have a lovely space!

Here are some ideas. This one has loads of texture and warmth.

This one has tons of character and warmth

Cowhide? Or a Jute?

Arlequin Hide Rug - Grey · More Info

Abbey Geometric Rug | Crate and Barrel · More Info

Fully Barked · More Info

Amazon.com: Karastan Euphoria Eddleston Woven Rug, 5'3x7'10, Ash Grey: Home & Ki · More Info

something in this coloring (TJMaxx)

or

if you get the silk viscose, they're very easy to wipe up spots and clean.

Frankly I would whitewash or paint the brick area the same color as the kitchen. With the white couch and the gray floor I would pick an Oriental-type rug which has some warm colors in it, similar to what aktillery posted. I think a blue rug will look cold and jute or sisal will show every stain, whereas a patterned rug in warm colors will make child and dog mistakes less prominent. You can use those colors for pillows and throws and other accessories for a coordinated look.

With pets and toddler, consider area rugs that could be laundered in the larger front loading machines at your local coin laundry rather than any room sized rugs.

Also, you might invest in a large gel mat for your toddler's play corner, a few mid-sized mats for your kitchen -- in front of sink and/or meal prep space and/or stove -- and a smaller one for each pet.

I think we are just guessing without more information on what style you like. You said you have a white cloth sofa, but not the style. Do you like a certain color, or more neutral decor? Modern or more traditional?

SL - Polyvore · More Info

SL - Polyvore · More Info

SL - Polyvore · More Info

Maybe something with a bit of white in it or grey?

Terminus Place · More Info

I like Kulrn !st rug with tussles.

Beverly found good rugs too, I like 5th and 6th ones.