Personally, I believe that making a site https is something that majority of the sites in the world should do. Google gives a slight ranking boost and slowly customers are trusting https sites more, with Google transitioning to "not secure" then it makes it even more of a reason to do so.
In majority of cases, https is quite a simple process if you're using a common cms. Just check that all of the scripts are functional and redirects are in place, once you've done that submit the sitemap and wait for Google to recrawl your site.