I don't think you need to paint any walls if you are going for the neutral theme, but as I said before, it's just a bit bland, so why don't you add a bright centerpiece? I've added a picture below of which I added a bright flower to your room(excuse my editing skills).

You could work with them in a more traditional routehttps://www.houzz.com/photos/life-in-the-fun-lane-blog-shabby-chic-style-dining-room-edmonton-phvw-vp~86499 personally I prefer michigammemom's proposal: modernhttps://www.houzz.com/photos/modern-living-room-modern-living-room-new-york-phvw-vp~625303

Hi Gab B! As a mum myself I totally get the practical side of NOT having a rug while juggling the floor-scratching issue! As a designer, I LURVE rugs under dining tables - they zone it yes, they ground it, they add visual interest (colour, pattern, texture)etc etc, but the obvious down side is how to keep it clean. So, here are a number of options to consider - none of which are the silver bullet (in my humble opinion) as you'll still have to manage spills. You could go: 1) sisal - just make sure you clean spills as soon as they happen and ensure the rug supplier provides a cleaning kit 2) a woven PET indoor outdoor rug. Not plush but at least you can take it outside and hose it down! 3) an indoor outdoor plush pile rug. May stain, but soft under foot. Not terribly expensive so a good short term solution 4) short pile conventional rug in a dark colour/pattern. Hides a number of sins, relatively easy to clean (eg using Mr Rug Dr). Nice under foot. 5) Use floor paint to suggest a rug! Hope that's a help! Let us know how you go ;-)

You can choose chairs either to match the curve of the table or the diagonal, chunkiness of the legs. Though that timber is going to be difficult to match. I'd go metal. You can contrast it with slim legs or go with the chunkiness .