Priyanka Bhave

This plugin adds login/ logout link in the navigation menu according to the user login status and then redirect to page/link set by admin and on click of login link a popup will open.
Plugin features :
<ol>
<li>Add login/ logout link to the naviation menu.</li>
<li>On click of login link Create a popup to login to the site.</li>
<li>Create a setting page for the admin to set redirection link after loggin/ logout</li>
</ol>
Steps to set redirection link :
<ol>
<li>Open the dashboard.</li>
<li>Click on login/ logout link under the settings menu.</li>
<li>Select the page or enter link to redirect after login/ logout for admin or non-admin login/ logout.</li>
</ol>

WP login/out link with login popup

This plugin adds login/ logout link in the navigation menu accordinng to the user login status and then redirect to page/link set by admin.

Julio Potier

Grégory Viguier

SecuPress

This plugin forbids access to https://example.com/wp-login.php and creates new urls, like https://example.com/login or https://example.com/logout. 
This is a great way to limit bots trying to brute-force your login (trying to guess your login and password). Of course, the new URLs are easier to remember too.
Also remember: the use of this plugin does NOT exempt you to use a strong password. Moreover, never use “admin” as login, this is the first attempt for bots.
By the way, if you are looking for a complete security solution, take a look at <a href="https://wordpress.org/plugins/secupress/" rel="ugc">SecuPress</a>: Move Login is included inside.
<h4>Multisite</h4>
Yes! The plugin must be activated from your network. 
Note 1: this plugin deals only with <code>wp-login.php</code>, not with <code>wp-signup.php</code> nor with <code>wp-activate.php</code> (yet). That means https://example.com/register will still redirect to https://example.com/wp-signup.php. I think this will be the next step though, but no ETA. 
Note 2: if users/sites registrations are open, you shouldn’t use this plugin yet. There are some places where the log in address is hard coded and not filterable. A <a href="https://core.trac.wordpress.org/ticket/31495" title="Always use 'login' as $scheme parameter for "login-ish" URLs, and other inconsistencies" rel="nofollow ugc">bug ticket</a> is open.
<h4>Requirements</h4>
<ul>
<li>You will need a FTP access: if the <code>.htaccess</code>/<code>web.config</code> file is not writable (you will need to add the given rules manually), or if something is wrong and you can’t log in anymore (see the FAQ in that case).</li>
<li>Should work on IIS7+ servers but not tested (I guess you should probably save a copy of your <code>web.config</code> file before the plugin activation).</li>
<li>For Nginx servers, the rewrite rules are not written automatically of course, but they are provided as information in the plugin settings page.</li>
</ul>

Move Login

Don't know why I didn't find "Move Login" first. I already tested 2 alternative free plugins and it was deficient in different ways.  "Move Login" is powerful, light and easy to set up. Very nice find. Thanks.

The best of the 3 ones I tested

Change your login URL for something like https://example.com/login and stop login brute-force attempts.

WP login/out link with login popup vs Move Login