What's your budget?

Yes, I would look for a small drop leaf table that would fit on the end of your island. Probably something roughly the depth of your island which is probably around 30" total with the overhang of the countertop? You could also place it on the wall at the end of the run of kitchen cabinets. You can pull the table out if you need seating for 4 or leave it against the wall or end of island and just lift the one leaf on the outside edge for sitting for a small meal for 2 or coffee in the morning that type thing. Here are some examples.

These come in all styles and sizes, so just shop for "drop leaf tables" and a bunch of styles will come up. This one is also referred to as a "gate leg table" because the legs turn out to support the left. These are a bit more sturdy and heavy duty although they come in all looks.

I have seen some small tables that expand to seat six but fold up for two. That would be perfect for every day at the end of your counter and useful if you ever want company!!

Where is the rest of the "one big room" ? Another photo please.

I think I'd get a small cafe table with two chairs and put it in the space between the kitchen cabinets and the couch; second choice, at the end of the island. Odd that they didn't manage even a one-seater overhang!

https://www.houzz.com/products/3-piece-douglas-vintage-bistro-table-set-black-prvw-vr~77539732

https://www.houzz.com/products/3-piece-modern-dining-set-with-bistro-table-and-2-stool-prvw-vr~75284341

https://www.houzz.com/products/3-piece-round-black-pub-table-with-2-29-wood-stool-square-legs-prvw-vr~17677904

I agree with the bar-height table and stools!

Everything in here is so angular do you think round would be ok or should I do square up against the wall?

IMO a bar height table is too tall just go counter height if you want to sit on a stool

It looks like the space between the kitchen and sofa is screaming for a table. There are several that expand. We have a small space and love our drop leaf round table. It seats us alone daily and can seat 6 if we pull it away from the wall.

Regular or counter height will work up against the island. But it looks like your island is 30x34” wide so you may have to get something built. Shouldn’t be very expensive.

IKEA Norden gateleg table. Plenty of ideas here:
https://www.digsdigs.com/ikea-norden-gateleg-table/

Flo's suggestion is perfect. There are two possible locations for the drop leaf table, and it would allow seating for 4 if needed. We have that set-up in our second home ( condo).

This one is from Pier One.

I would put a narrow drop-leaf table in between your living area and kitchen. You can put it right up against the wall for everyday use and pull it out and put up the leaves if you have people over.

What Flo said.