It is extremely important that your parrot is able to play independently and entertain itself. Most people are not going to be at home for a large part of the day. Even when they are, it is extremely unlikely that they will be able to devote all that time to playing with their parrot. Toys are useful in filling up their time and keeping them entertained. Bored parrots often display destructive behaviour such as feather plucking.
There should be a minimum of 3 different types of toys in the cage. 3 similar-looking wooden toys will not result in 3x the entertainment for your parrot. Experiment with different types of materials for the toys and observe your parrot to find out its preference. It is also a good idea to switch toys in and out to maximise the ‘newness’ level of the toy to your parrot. You can even hang toys outside the cage so that your parrot has to work on pulling parts of it inside to play with it.
Parrots are also attracted to bright colours. In fact, because they can see UV light, what might be a dull colour to us could appear as a vivid colour to them. Parrots also prefer certain colours to other colours. Usually, they are most attracted to colours that are on their feathers. However, every parrot is different and you should spend time observing yours to fully understand its preferences.