Homepage as One-time Login

Good day everyone,

I hope someone can help me with this feature I’m trying to implement.

I would like to have my homepage as a login/register page (as Facebook and Twitter) and upon logging in, the user will be redirected to another page, and cannot return to that “homepage” unless they logout. So the homepage is a one-time login page, where the user cannot visit it again unless they logout.

Is there a plugin for that, or is there a way to do this by some hacking?

Thank you in advance.