Sort/filter posts on most viewed page?

Im having major problems trying to figure out what would be the best method and how to actually do this. I will quickly explain what I want to do and what I currently have:

What I want to do:
Ok, so I have a column of posts (thumb + title) and above the first post I was hoping to have a filter menu, which would load the next bunch of posts.

Week | Month | All-time

POST THUMB
Title

POST THUMB
Title

POST THUMB
Title

To get the most viewed posts, Im currently using this:`// function to display number of posts.

function getPostViews($postID){
    $count_key = 'post_views_count';
    $count = get_post_meta($postID, $count_key, true);
    if($count==''){
        delete_post_meta($postID, $count_key);
        add_post_meta($postID, $count_key, '0');
        return "0 View";
    }
    return $count.' Views';
}

// function to count views.
function setPostViews($postID) {
    $count_key = 'post_views_count';
    $count = get_post_meta($postID, $count_key, true);
    if($count==''){
        $count = 0;
        delete_post_meta($postID, $count_key);
        add_post_meta($postID, $count_key, '0');
    }else{
        $count++;
        update_post_meta($postID, $count_key, $count);
    }
}

I did want to make the filter using javascript, so it would work something like this:

https://listjs.com/examples/standard.html

Any help or advice would be great, thanks