How to move menu buttons to place where social media buttons are located?

Is it possible to move the menu buttons to the right of the logo in the header? Basically in place of where the social media icons would go?

Do I need to do this in the header extensions php? Any help would be really appreciated!

Sorry for late response.

Yes, these changes can be done via header-extensions.php. This file is located in theme folder → library → structure.

It will take much more than copy/paste some code and you will have to do a lot of tweaking via CSS to make it work smoothly.