A patio will be a high traffic outdoor area that builds up a great deal of dirt and debris over time. If you want a cleaner patio, you can consider pressure washing it to achieve a better result than simply cleaning it. However, pressure washing will only remove a certain amount of dirt; if it has become ingrained, or if the patio itself has become damaged, you may simply need to accept that you need a new patio. This can make a big difference to your outdoor space and its aesthetic so if you decide to take this approach, you will inevitably be very pleased with the result.
You can create additional features around your new patio as well to make it more usable and to create an inviting environment. You could install a water feature, an awning, a pergola, a veranda, or solar powered lights to help make your patio more inviting.