Creating preview of wordpress site on remote hosting before going live

Hi, i hope someone can help me with this.

I have live wordpress on my hosting and new custom theme i have built on localhost, with all customization i need for my site. I also need to add some parts (analytics, adsense, etc…) when site goes live.

Is there a (simple) way to rebuild all features i have made in localhost on a hosting install without going live and without interrupting current site, just for preview, and then, when i’m satisfied with how it looks, just to “click a button/something” to publish whole site?