First it's hard to make a choice because your picture includes pillows that may go away (they're not great choices IMO) and second you have such a mixture of styles: modern sofa, traditional side table, rustic stools and what looks to be a farmhouse style dining area. You need a rug that marries those elements together. We also cannot see the entire space for context. WE also need to see the 2 leather chairs. You are a Pro and ASID?? When you say "custom area rug", what are talking about? Neither rug looks to be custom.

Thank you for the additional photos. There have been so many good suggestions! Right now you can center the rug and that will help tremendously. Second, relocate and then balance the framed artwork to the scale of the fireplace. Once those are done you should “feel” what materials will work best for your room. There are so many options: Wood,Stone, Glass. As an aside, I have similar sofas in my room and have found that cream colored (faux fur) 24” pillows and throw added so much to lift the weight of the dark sofas giving visual and practical comfort. I guess since I have them I can see them in your space. Can’t wait to see the room when done!

A rug would give you more leeway with your floor and the type of color in wood that you would like to bring in. A rug could help you to bridge the gap. However, if you have children, consider using an ottoman style in a coffee table. Or at least do a rounded shape, so there are no sharp corners. On an ottoman style, there are no sharp corners, so a square or rectangle would be OK. As one example, I think this ottoman could probably have a little bit more padding; but it is definitely better than zero padding, if there are young children afoot. https://www.wayfair.com/furniture/pdp/trent-austin-design-sigler-tufted-cocktail-ottoman-trnt5129.html A couple of pics from customer reviews You classify the space as a family room - so just putting this info out there, in case there are children involved.

This room would be greatly improved by a colored rug. Here are some examples. To many rectangles and squares in this room. I would move the ottoman to the near side of the sofa and for coffee table I would do a round table, either a single round table or two round tables next to each other, usually one is higher than the other. If going with a Persian rug or Caucasus rug as shown above, some people like to use glass-topped table to show the pattern of the rug below. Here are some coffee table ideas- Here is a similar one with some glitz- The one below comes in different wood finishes This is a modern rug on Houzz from Mohawk Home, but the colors are just perfect.