The choice of screening will depend on available budget. Walls are expensive to build, wooden screens with posts and trellis panels are much cheaper. Planting a hedge is usually the cheapest option, but may take a while to grow in unless you can afford large plants or an instant hedge.
You can also add patio string lights to your garden. Patio string lights are great for adding touches of colors and creating an entirely different mood for several occasions. Since they are generally colored and not too bright, you can use them both temporary or on occasions only and permanently as an integrated part of the overall patio lighting design.
All the above mentioned are excellent patio materials to be use for your patio. In addition, you can even use a combination of different types of patio materials to make your patio comfortable. Also, you have to consider the drainage properties of each material. For instance, individual stones, bricks, or pavers will let water through more than a whole slab of concrete.
Intended use of the patio : Decide how you want to use the patio. Is the patio mainly for alfresco dining or sunbathing or relaxing with a book or all three? The intended use will dictate the size and location of the patio. A patio mainly for dining is best placed where there is some shade so that diners can keep cool on warmer days and seek the sun when the weather is cooler. A patio intended mainly for sunbathing needs to be in a spot where it's sunny all day. If you want young children to safely use the patio, it needs to be somewhere you can see them from the house.