I put a high quality, floating floor in my apt kitchen in NYC to help with pet wear and tear. NOT the best option. If one piece needs to be replaced (and with pet accidents it bubbles very easily), you have to undo a whole section because they are interlocked. Also, they just don't look that great, no matter what we paid. So when it came time to make the rest of the apt floor look decent, we switched to vinyl planks from Lowes. Sounds gross, but they're actually amazing looking. Our apt was built in the 1880's, (the original floor was long destroyed and removed before we got it),and I found a dark gunstock in a wider cut that almost matched our neighbor's original floor exactly. You ready for this? 98 cents a sq foot! If one gets damaged you peel it off (with some effort) and put a replacement. Echoflooring is sooo right about batch colors. Get it all at once and mix up the boxes as you lay it. We have a bunch of mixed ones for replacement and haven't used one, not one, but I know we have them. Lowes will recommend their sealer,but we didn't use it. They self stick just fine. One or two spots came up after we were first done and someone on line told us to use a hairdryer to reheat it and lay a book on top overnight. Worked like a dream. Our apt in NY is 800 sq ft and our current tenant is a photographer with two rescue cats and she loves the floor. Even with her keen eye, we had to tell her they were vinyl and how to replace it if she had a pet accident. She was blown away! I will try to post a picture of our NY apt floor for you. To be fair to our tenant the photographer, I took the horrible quality pics w my cell, not her! LOL! Choose wisely for your space and go with your fave, not what everyone says you should do, incl me. And pls do remember the color batch issue echoflooring brought up. Good luck :) Here is a link that might be useful: NYC vinyl plank floor

I agree that your wall color is throwing everything off. Warm and cool are tough to blend. You can make it look intentional by finding some patterned items and accessories that have warm tones and silver mixed together but in your case I think painting is the easiest solution. The same issue will happen if you pick gray floors. I would pick a light/medium brown/beige toned LVT with minimal pattern. There are tons of LVT choices. Have you decided on a brand yet? Wood look or tile look? Definitely bring the art down to people height. There is a tendency to want to "fill up" taller walls by hanging decorative items very high. But if you decorate nicely at people height, the tall ceilings and walls will look light and airy, not bare. If you decide on a new rug, try to get one big enough to fit the furniture. The rug you have now is pretty but is more suited to an entry or dining area because of the shape.

This link shows several rooms with your wall color. You might get some ideas from the ones that show wooden or wood-like flooring. SW Network Gray rooms

Installing hardwood in Florida takes extra effort. The first part of that effort is having EXCELLENT humidity control in the home. In hot, humid climates that means the A/C might not be enough. It might require an additional whole-home dehumidifier. It can also rule out an 'open window' type of home. Again, it depends on the location and the humidity levels. Hardwoods must be kept in a 'happy humidity' range between 45% - 60%. At all times. Every minute of every day. For ever and ever. And ever and ever. That means you will spend more on your HVAC system to have that type of 'push button' control (whole home humidifier/dehumidifier). And then the type of build also dictates the best practice for installation of hardwoods. A concrete slab takes extra effort to glue down wood. A high-end adhesives must be used and those add $2-$3/sf...just for the glue. The hardwood and labour are on top of that. In Florida, the most appropriate floors are stone, tile, terrazzo or concrete. All of which are hard and cold. Of course a cool floor in a hot climate is a BENEFIT...not a drawback. Part of the cold flooring is it helps keep the house feeling cool. Vinyl is then the next option. The difference between the 'wood look' or the stone/tile look is simply aesthetics. If you LIKE the look of wood, then go for it. If you LIKE the look of stone/tile, then go for it. With vinyl you will require very good UV block on your windows. Ask your builder what level you have on your windows right now. You will want to find something with UV block ABOVE 50%. I prefer to see 70% - 75%. That keeps the vinyl and the house cool. But it also makes growing indoor plants a difficulty. Plants struggle with UV blocking windows at 70% or higher.