Either one would work in the kitchen. I think it is more of a personal choice. I prefer tile in the kitchen.

You list is all "stone" products. Stone products are natural. The durability is guaranteed with stone. Stain resistant...remove marble and granite from your list. Both can stain and etch and both will do this with "flooring" more than they will with a counter top. Gloss levels all change...but it will take years to do it. All stones have maintenance = homeowner needs to work at keeping stone looking good. Stone = expensive. There is no "benefit" for "reasonable" when working with stone. They all cost plenty of money. Stone is expensive. No way around it. If you want "glossy" that doesn't stain for a "good price" then you have forgotten to mention the BEST option: porcelain tiles. Porcelain will do everything you want for a lower price. Stone is expensive, it can stain (especially "oil" stains) it will "etch" or lose gloss level with certain liquids (acid based liquids will do this) and they all need to be maintained and eventually need repolishing to maintain "gloss". Durable is all you can expect out of stone. The rest of your wish list belongs with porcelain tiles.

I am finding many color tones in the Dyna marble maybe choose that first then see if there are tones of gray in that choice as for cabinet color I think the floors should be the same throughtout and if you want gray you could do the cabinets gray if that tone is in the floor

It seems to me that you would have much better space utilisation if you convert this to an open kitchen. The current layout seems to minimise the counter space available to you.