I'm trying to figure out which Facebook plugin works better for starting conversation with my website visitors. Facebook provide two different ways:

1) The "Message Us" plugin (https://developers.facebook.com/docs/messenger-platform/implementation#message_us_plugin) - this button sent the user user to Messenger (web or app).

2) The Page plugin (https://developers.facebook.com/docs/plugins/page-plugin) - It lets embed Facebook Page on a website and start conversation without leaving the site.

All these plugins can be represented as website widgets. There are some examples: 1) http://blog.jparkislandresort.com/ 2) http://www.band-brand.us/

Which way is better? Which widget is more convenient for the visitors? Thanks!