Shane

WC Vendor data like Store Name is stored in the WP usermeta table.
For example:
$store_name = get_user_meta( $user_id, 'pv_shop_name', true );

Or you can get all the user meta at once:

$vendor_meta = get_user_meta( $user_id );
$store_city = $vendor_meta[_wcv_store_city][0];

@marc.bovet

I would like that the list of stores only show the stores currently on the map

That is part of the WC Vendors Map Version 1.5 that became available today.

When I click the search button, I would like to be redirect to the store-locator

You need to edit this file or create a copy in your theme and edit that:
wc-vendors-maps\templates\wcv-store-locator-shortcode-template.php

Find this line:
<form action="" method="POST" ...
And change the action to whatever you want. For example:
action="<?php echo site_url('/store-locator/'); ?>"

[ thx @fervous ]

WC Vendors Maps is now available.

@pippa

Each marker on the map include a link to that vendor. Just click on the marker.
The location used for a search can be very general: a city, etc.

You could try the WC Vendor Pro Demo. That should answer all your questions.

Go to the Pro Dashboard and click “Customer Map”.

‘Customers Map’ will show you the location and # of purchases of each of your customers.

Store Locator will show the locations of all stores and allows filtering.