look at some of the Smartstrand cpts from Mohawk. They are very soft and stain resistant but come in a frieze style so they will look good. Most kid proof type carpets you will find are made from olefins which are scratchy. The softest nylon is Tactesse but its not totally stain proof. you may have to get a carpet remnant then just have it bound. I doubt any area rugs you will find are made from these fibers.

great advice upthread I'll try to be short, probably repeating several people: -get rid of the white console next to the fireplace/look for smth else instead if you need it there for function -think of other window treatments. curtains? woven blinds? roman shades? any of these will look better. move your sectional a bit from the wall, both to allow room for window treatments and because furniture generally needs at least couple inches to breathe..that wil also make room seem larger -you already purchased the ottoman in the same color and style of the sofa..off white, right? well something different would be better, but it's okay..buy a throw, fold it and put there to break your lines a bit. tray is great too-both for function and beauty. you'll appreciate it when watching this TV -I liked reading how your wife gets her art:) okay..so if there's no real room for other suggestions(I'm also prejudiced against mass produced canvas art..maybe she can be talked into a print instead?..)..put that art there first. Make sure it fits-seems huge?.. Say you go for that a very similar art, you have there-a bit of white, black, brown, indigo blue, fiery yellow white and brown you already have in your room (btw like your furniture) pull your other colors (in pillows and throws and accessories) from that art -deep sophisticated blues, golds. can be metallic accessories (like vases or flower pots?), can be softest fur pillows can be velvet, can be knitted throw. everythhing you buy-make sure it's a different texture..leather is sleek you've got enough of it. Speaking from experience-I also have my fair share of leather:) then look for a big ticket items like curtains and a rug. (or simultaneously..just keep your general scheme in mind). you can decide to make them fairly neutral. repeat the color of the furniture, just different material of course. or go for one vivid deep color but make it a shag rag for example. Don't try to match pattern to art..art has a mind of its own. Look at the room as a whole..what does it ask for? and know yourself of course..say I love many rugs but I don't like to clean them lol. You know whether it's high traffic area, what your habits are, and whether you'll be sad for 5 min if the rug will have spots and then get over it, or will be sad for 5 days. when you buy a side table try, again, to introduce another texture, just different material in this case. maybe wood. maybe ceramics(garden stool?some of these look really modern). every new material you bring creates dimension. Dimension is something you look for when creating spaces. Why? well that what we've used to. Ouside always has it. Even when it's a desert or an ocean. It has depth. we need to recreate it with all sort of ways and means that are availiable to us.. Good luck! will be a cool room edited because of thousand typos..))

Something modernizing about this rug. Who knows what color it'd look like in your room with a green sofa? maybe a pebble / mineral tone idk, for a soft, low-contrast look. Around $180 with medallion motif. [https://www.houzz.com/products/nourison-euphoria-eup03-67x96-grey-rug-prvw-vr~77269703[(https://www.houzz.com/products/nourison-euphoria-eup03-67x96-grey-rug-prvw-vr~77269703)

Your floors are lovely. I would remove the dark coffee table and get a pretty glass one with a nice accent rug that just sits under it to add some color. The green console in the far corner would look better on the wall between the window and column in your living area unless it is actually a corner cabinet. We can't really see all of your space, but it looks like the sofas are crowding the stairs and there certainly isn't room for a properly sized area rug to go under them. If you care to post pix taken from the corner opposite the stairs, and from the far end, we might help with an arrangement that would allow for a large rug. Otherwise, I think an accent rug seen through a glass table will be pretty. Have you considered flipping the two rooms?