How to properly track changes and re-render them in Angular 5?

Question

Angular

There are checkboxes with filter names: red, blue, green. And a table with squares of different colors. Task: when selecting one or more filters, it is necessary to redraw the table, leaving only suitable options.
Two difficulties arose:
A) it is not clear what hook or other mechanism is needed to track changes in the checkbox?
b) after receiving the data from the checkboxes, which hook in the component can redraw the table, taking into account the new data received from the api?