The table looks to be a knee-knocker. Pull the chairs back just a bit. I'd add lots of plants. I don't see room for a rug. You could get a colorful adjustable umbrella with stand to put between the loungers. They make lighted ones, and some outdoor lights would be nice at night all around. Is there a firepit?

you need color and lots of plants to soften things up.

You need to bring in some color with pots and plants.

The Mexican pot you have doesn't really go with your house.

Some ideas. You need seating by the fireplace and more color

Are you in So. CA? If you are, you should plant some Bougainvilleas behind your fence to add some color to the landscaping.

First, can I come live with you?
I think an outdoor rug would do good to define the space for the table and chairs.
What about a bench undercover and safe from rain... add a big stack of solid color beach towels for guests?
Depending on your taste... bright, dark, pastel or white? I’d avoid patterns because it would call too much attention.
I’ve always been a big believer in white towels... simply because you can bleach out stains and stay bright.
Get the big towel ( sheets?) - the ones oversized and thick.
Keep it simple. It’s a very classy area as it is.
Don’t junk it up with “stuff” unless it has a purpose. Maybe a bench with a weatherproof cushion near the fire place/pizza oven? A set of 3 or so waterproof square tables for people to sit drinks on? Keep all as a set or break apart and move where needed.