You can use a combination of a computed property with either native Array methods (i.e. filter, map, etc) or a package like lodash to help filter/order your data.
Vue.JS documentation mentions the use of a computed property
https://vuejs.org/v2/guide/list.html#Displaying-Filtered-Sorted-Results
Here is an example of lodash in use on a computed property
https://github.com/wells/airflix/blob/master/resources/assets/js/components/Movies.vue#L185-L207