To find people on Kik, the easiest way is to use the Address Book Matching feature. Once you have entered your phone number, you will then see the people who are in your phone's address book that are also on Kik.
There are also other ways to find people on Kik, including searching for people by their username on Kik. To do that, make sure you know their username, and then head to the "Find Users" section of the app. Type either all or part of the username into the search box, and you will see the people who have that username. All you need to do then is click their profile and add them as a contact on the app.
However, the Address Book Matching feature is perhaps the easiest and simplest way to find the people you know. With that feature enabled, it means that anyone who is in your phone book can become a contact on Kik with ease.
All of your contacts on your phone that have access to Kik will instantly become available, meaning that it is now possible to chat to your contacts on Kik, as well as on other platforms and apps, too.