How to code for websites to have a login/logout box for vB3

[AWantedHero]

Hello! I was wondering if anyone knew the code in PHP or in any other compatible code that works with HTML pages.

So here is what the HTML pages would work as, they are just like any other HTML pages but they have a login box.
But I need the code to make it work and I need the code not just for a login box but for a

- Login Box and redirects you to the forum directly once you successfully logged in.
- Logout.
- A remember me box.
- Once you log in, if you go back to the HTML page, it would say "Welcome (Your username)".

If you could make this code, I would greatly appreciate it!

Thank you.