Nested Json Search Ionic

I want to select certain data such as the name within my nested Json file based on a search. I am a complete noob in Ionic and Angular. Any help would be greatly appreciated. I was following this guide and I was able to come up with the results based on the guide. However, when I used my own Json file stored locally I did not know how to filter it so that the results would show up in the search.

Here is my code. I am using Ionic 3 and Angular 4.