The materials you choose should always blend with the surroundings and other materials used in the garden or landscape, while providing the right surface for the intended use of the patio.
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.
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.
When you are figuring out your budget for the patio, you must take into account the maintenance costs of each different type of patio material. You may find that you are better off choosing a more expensive but durable patio materials up front rather than choosing a cheaper one that has a higher average maintenance cost. Also, make sure that you include into your budget for any additional walkways or paths that need to be built.