Do you have any floor outlets. This would be the right place for the right type of lamp. I'm not seeing an table or floor lamps in the area which are required along with overhead lighting to properly light a space.

Here are spaces with console tables behind sofas that have lamps.

No outlet, that would have been nice

Well if there is an area rug installed, you might be able to fish a cord underneath. If not, then a couple of rustic hurricanes or a lantern, a few books and ceramic accessories might be the right selections.

It's beautiful as is.

Any kind of decorative items would work. Perhaps things that would be transitional between the kitchen and family room.

Agree with Beverly, since you have only overhead lighting, couple of lamps would be a good addition. Run the cords under the rug by the edges of the sofas to the outlet on the left of the fireplace. You can hide the cord by using a cord concealer.

Great table! Lanterns or candelabra...along with some family photos in pretty frames :)

A large, low plant might be nice...

If you like the breath of space you have now but would like a point of interest for the eyes between the two spaces, perhaps a terrarium with some tropical plants or a series of adorable succulents (super low maintenance and give color. I saw West Elm has a bunch, super stylish, would work with any decor. Or a low plant or cactus. That way you would have lots of open surface for a clean look, but perhaps also have room for a few candles in votives for soft lighting and plenty of room to still use that surface for anything you might naturally do in that space i.e. Use during parties, display magazines, set down keys in a glass owl, leave notes for family members, flowers.

If there's a basement under that room, adding a floor outlet is a piece of cake, and a small lamp (or a pair) would look great. Totally worth it (and the light from table height would soften shadows).

Some vignettes to consider...

As to cords run under rugs, my insurance husband is also appalled. Then again, we don't have candles, they cause ghosting on your ceiling.

Wow! Someone who passes themselves off as a Pro (7 Sisters Interiors) suggests running cords under a rug. Great. What next, toasters in the shower?

Ok at first I loved the lamp idea with the cords but after everybody scaring me to death I have decided to have floor outlet put in. Any great lamp suggestions?

Normally, I would have issues with a room with a dead animal over the mantel because as you can see, I'm an animal myself. That's what I love about the Internet: no one knows you're a dog. At any rate, I LOVE your room. I think any of these lamps would look great:

What struck me in your first image is the linear design of your bar and then repeated in the linear design of your sofa table. Both are nice but IMO, not opposite each other. I would prefer the soft back of the sofa opposing all the hard edges of the bar and metal stools. Use rustic end tables on each end of the sofa and lamps. Perhaps they would also be nearer outlets? If you set up a chair to make an "L" with the sofa, you could run cord under sofa, under end table, under chair and reach an outlet without fire or tripping hazard. Lovely room. Smiles to the doggie comment :-)