Personally for me think they look beautiful either way. BUT, and it's a big but, I wouldn't want to have to worry about keeping a rug under a table clean. I may love to vacuum, but I it's just not so fun when dodging table can chairs under a dining table. It's so much easier to sweep a bare floor in this situation. But that's just me.

I love having a dedicated INformal dining room! Yes, it's 'The Dining Room,' but it's not formal. Long farm table, comfortable chairs, warm lighting, flooring and surfaces that won't get damaged by kids or spills. A really warm and welcoming place to eat meals as a family or with friends. The 'breakfast nook' has just never been my favorite. Even when the space is nice, the furniture is rarely of a caliber that brings joy to the users... I'd replace that with two comfortable wingback chairs and a tall side table -- the kind of place you could have a cup of coffee and read the paper, or sit with a glass of wine while your spouse makes dinner or cleans the kitchen. The other great use for a 'breakfast nook' IMO is as a kids' homework area or auxiliary baking table. Another great use for an unused dining room is (if you can close it off) as a TV room. Get the TV out of your family room and reclaim that space as a family gathering area without the constant racket of a TV.

Without an actual to scale plan of the space there is no way of knowing what will fit and I love the low cabinet with the art BTW. I think you might be able to put a round table in the DR but I need measurements of the spaces I never like fake greenery or flowers and the mirror is really not reflecting anything worth seeing twice

It's definitely a dining room. You would usually put a table here for when you have company for dinner and need to seat more than a couple who can sit at the island -- most dining tables seat 6 or 8, some have leaves to seat more for holidays, etc. I'd choose something rectangular and set it just off of center, toward the left as we're looking toward the kitchen, to allow for easy access to the doors on the opposite side. If you think you'll mostly leave it pushed out of the way, you could consider using a bench on the mirror wall side, to make that easier. If, however, you never expect to have children or dinner guests, then I guess you could set this up as a little reading room, with a couple of arm chairs on the left wall with a table between them and a reading lamp. It would then become a place to hang out while something is cooking, etc.