I would start by freshening up the concrete with a penetrating stain and building a hidden area for the pool hoses and cleaning materials...then buy outdoor rugs to create focal points and add color and texture for the seating/ dining areas...keeping in mind the number of people you will want to accommodate....start to look for furniture that is lightweight enough to move around easily but very comfortable to sit in...keeping the furniture pieces smaller unless you plan to mostly just use the space just for family...another thing to plan for is convenient/handy storage for cushions ...and shade elements that can be moved easily to where they are needed

Concrete stain can really improve the look of concrete flooring. But you have to make sure your concrete is not already sealed. Since your concrete surrounds a pool it's possibly already sealed, and that sealer would have to be removed first. Below is a photo of unsealed (left) and sealed concrete that just had water poured on it. Hopefully you can see how it beads up on the sealed concrete.

As to furniture around this pool, it's easier to fit chairs and loveseats into tight spaces. Outdoor furniture is often smaller than indoor furniture. Most indoor loveseats measure 3' deep x 5' wide. Sofas start around 7' wide. An outdoor loveseat may be as small as 2.5' x 4'. Nonetheless, your space doesn't seem that small.

I think you should measure the area across each end from house to outside wall and from the pool edge to the outside end wall. Draw those measurements onto paper so that 1' equals 1" on paper. On another piece of paper draw the outlines of any furniture pieces you have or want to buy to the same 1' equals 1". Take a tape measure with you when shopping in case the size of furniture is not listed. Most online outlets will list sizes. Label each furniture piece and cut it out. Now you can move the pieces around to get the best fit and use of your space, but remember that where people walk there should be 42" or more width, but 36" to enter a seating area is OK.

It would be great to find a tall cabinet to hold tools and chemicals for the pool, but most I've seen are under 6'. In the meantime, a folding screen could work to hide those items. Larger pots don't dry out quickly and are less likely to get knocked over, but terracotta pots get really heavy. In addition to plastic there are fiberglass and resin planters which can look like terracotta, glazed porcelain, wood, stone and metal. Here are some resin planters. Annual plants are the easiest to take care of and provide lots of color. If your winter is mild you can use cool season annuals, like snapdragons, pansies, pinks and sweet alyssum, to fill pots from late fall until mid spring.