What is Facets/Faceting?
Faceting (also known as faceted search) is a search tool that allows users to narrow down a large set of results on an SERP by selecting one or more criteria that the results must adhere to. For instance, a user who searches for "sweater" on an ecommerce search engine will at first see many options, but may want to narrow his/her options to only orange sweaters by clicking on a color selection checkbox.
In Swiftype
Swiftype offers an intuitive tutorial to make implementing faceted search easy on your website, and the front-end design can be completely customized to fit the existing aesthetic of your website template.