Nice place. You've got a great blank slate...stick with it and it will come. I agree about the kitchen backsplash, but I don't think I'd start there. There are a number of things I would think about, but first it's important for you to make the space work for you and your lifestyle. Do you need more storage? Do you entertain a lot and need more dining space? Do you cook a lot and need more surface area to work? Do you need more seating in the living area for parties and such? Or is the seating you have now adequate. So, for example, I would think about adding an island to the kitchen which people could sit at with their backs to the long wall. It would add storage below and work surface above and not block off the light from the living area. If possible, think about adding pendant lighting over the island. I would move the dining area so it is closer to the long wall. I would help define that area by using an area rug underneath. In the living room, you could use another area rug to highlight the space. The drapes look skimpy, especially with the knot in them, and the color isn't helping to bring in the strong colors from the tile floor. I would think about getting a bookcase style entertainment unit to add more storage and mass, and I would put that on the long wall...put the seating area more into the corner to make it feel cozier. If you're open to new furniture, a sectional sofa might be nice there. A lot of it will come with more wall decor as well. Right now there's only a few pieces and they are small in scale relative to the size of the walls. But you've got a good start.

I am not crazy about tile. It's hard on the feet and legs. I also don't like cleaning the grout although you can make the grout line very small and dark so that would make it easier to clean. I do love wood. I just think it feels nice underfoot, and I think it gives a warmer overall look. Wood is pretty easy to keep clean. I just use a damp dry mop on mine. My dogs are big and have scratched my wood floors, but it doesn't bother me. One day I will have them resanded and stained.

That really leaves you with the current arrangement, replacing the grey chair by the front window with kid stuff and leaving the floating living space opposite the TV. I'd really look into rerouting cable so the TV can be where the large art piece is. It's not usually very expensive and will be necessary in order to keep your walkway from running right in front of the tv.

Looks good. I think the rugs have some of the same colors so for now they should be OK. I would center the sectional on the window, pull it a little bit away from the window. pull the rug towards the TV so that arm is on the rug. I would do roman shades on the window.