Custom login/registration

I need to have a custom login/registration built to replace the wordpress built in login. I am using the Avada theme and Web Directory 2.0 plugin as main components. There will need to be a login button in upper right of each page, that turns into a logout button when users are logged in. Other requirements are login, registration, and lost password forms are in the form of a modal, or popup window, that is fits in with the theme. Login popup will have option for registering and changing password. Registration form will let users set their password right then, and be able to login right away, and not have to check there email to complete registration. Also, logging in or registering redirects to the page that was intended after doing so. The ability to customize the welcome registration email they do receive. These forms should be available anywhere a login/registration is required throughout site. I also have social logins that I would like to keep. A user detail page that would let them update emails/passwords etc.. would be nice also. Website url: [login to view URL]