Need To Move WordPress to Different Directory

I am new to WordPress. Some background on the project I’m on. In 2012, I built an HTML site for my client. It’s dated and isn’t responsive for mobile. I recently built him a new site using Wp, but when i installed Wp, I put it in a /temp directory because I was afraid it would cause a conflict with the HTML site, if it installed in the root. The install path is /public_html/temp/wp.

I need to take down the HTML site and make the Wp site live. First I need to move Wp to the root so it’s in /public_html/wp

How do I do that and have all of the menu URLs update as well?

The page I need help with: [log in to see the link]