In module login i set "home" in Login Redirection Page field. The same for logout. I use jomsocial login and joomla module login to do logout.
I share to you my htaccess content, where i change my exact domain with "mydomain" text. Please consider that i have three domains two parked (.net and .org) and one principal (.com).
### ===========================================================================
### Security Enhanced & Highly Optimized .htaccess File for Joomla!
### automatically generated by Admin Tools 2.1.13 on 2011-12-06 10:02:36 GMT
### Auto-detected Apache version: 0.0 (best guess)
### ===========================================================================
###
### The contents of this file are based on the same author's work "Master
### .htaccess", published on http://snipt.net/nikosdion/the-master-htaccess
###
### Admin Tools is Free Software, distributed under the terms of the GNU
### General Public License version 3 or, at your option, any later version
### published by the Free Software Foundation.
###
### !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! IMPORTANT !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
### !! !!
### !! If you get an Internal Server Error 500 or a blank page when trying !!
### !! to access your site, remove this file and try tweaking its settings !!
### !! in the back-end of the Admin Tools component. !!
### !! !!
### !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
###
##### RewriteEngine enabled - BEGIN
RewriteEngine On
##### RewriteEngine enabled - END
##### RewriteBase set - BEGIN
RewriteBase /
##### RewriteBase set - END
##### Custom Rules (Top of File) -- BEGIN
RewriteCond %{HTTP_HOST} ^(www.)?mydomain.net [NC]
RewriteRule ^(.*)$ http://www.mydomain.com/$1 [R=301,L]
RewriteCond %{HTTP_HOST} ^(www.)?mydomain.org [NC]
RewriteRule ^(.*)$ http://www.mydomain.com/$1 [R=301,L]
##### Custom Rules (Top of File) -- END
##### File execution order -- BEGIN
DirectoryIndex index.php index.html
##### File execution order -- END
##### No directory listings -- BEGIN
IndexIgnore *
Options All -Indexes
##### No directory listings -- END
##### Optimal default expiration time - BEGIN
# Enable expiration control
ExpiresActive On
# Default expiration: 1 hour after request
ExpiresDefault "now plus 1 hour"
# CSS and JS expiration: 1 week after request
ExpiresByType text/css "now plus 1 week"
ExpiresByType application/javascript "now plus 1 week"
ExpiresByType application/x-javascript "now plus 1 week"
# Image files expiration: 1 month after request
ExpiresByType image/bmp "now plus 1 month"
ExpiresByType image/gif "now plus 1 month"
ExpiresByType image/jpeg "now plus 1 month"
ExpiresByType image/jp2 "now plus 1 month"
ExpiresByType image/pipeg "now plus 1 month"
ExpiresByType image/png "now plus 1 month"
ExpiresByType image/svg+xml "now plus 1 month"
ExpiresByType image/tiff "now plus 1 month"
ExpiresByType image/vnd.microsoft.icon "now plus 1 month"
ExpiresByType image/x-icon "now plus 1 month"
ExpiresByType image/ico "now plus 1 month"
ExpiresByType image/icon "now plus 1 month"
ExpiresByType text/ico "now plus 1 month"
ExpiresByType application/ico "now plus 1 month"
ExpiresByType image/vnd.wap.wbmp "now plus 1 month"
ExpiresByType application/vnd.wap.wbxml "now plus 1 month"
ExpiresByType application/smil "now plus 1 month"
# Audio files expiration: 1 month after request
ExpiresByType audio/basic "now plus 1 month"
ExpiresByType audio/mid "now plus 1 month"
ExpiresByType audio/midi "now plus 1 month"
ExpiresByType audio/mpeg "now plus 1 month"
ExpiresByType audio/x-aiff "now plus 1 month"
ExpiresByType audio/x-mpegurl "now plus 1 month"
ExpiresByType audio/x-pn-realaudio "now plus 1 month"
ExpiresByType audio/x-wav "now plus 1 month"
# Movie files expiration: 1 month after request
ExpiresByType application/x-shockwave-flash "now plus 1 month"
ExpiresByType x-world/x-vrml "now plus 1 month"
ExpiresByType video/x-msvideo "now plus 1 month"
ExpiresByType video/mpeg "now plus 1 month"
ExpiresByType video/mp4 "now plus 1 month"
ExpiresByType video/quicktime "now plus 1 month"
ExpiresByType video/x-la-asf "now plus 1 month"
ExpiresByType video/x-ms-asf "now plus 1 month"
##### Optimal default expiration time - END
##### Redirect index.php to / -- BEGIN
RewriteCond %{THE_REQUEST} !^POST
RewriteCond %{THE_REQUEST} ^[A-Z]{3,9}\ /index\.php\ HTTP/
RewriteCond %{SERVER_PORT}>s ^(443>(s)|[0-9]+>s)$
RewriteRule ^index\.php$ http%2://www.mydomain.com/ [R,L]
##### Redirect index.php to / -- END
##### Redirect non-www to www -- BEGIN
RewriteCond %{HTTP_HOST} !^www\. [NC]
RewriteRule ^(.*)$ http://www.%{HTTP_HOST}/$1 [R,L]
##### Redirect non-www to www -- END
##### Rewrite rules to block out some common exploits -- BEGIN
RewriteCond %{QUERY_STRING} proc/self/environ [OR]
RewriteCond %{QUERY_STRING} mosConfig_[a-zA-Z_]{1,21}(=|\%3D) [OR]
RewriteCond %{QUERY_STRING} base64_(en|de)code\(.*\) [OR]
RewriteCond %{QUERY_STRING} (<|%3C).*script.*(>|%3E) [NC,OR]
RewriteCond %{QUERY_STRING} GLOBALS(=|\[|\[0-9A-Z]{0,2}) [OR]
RewriteCond %{QUERY_STRING} _REQUEST(=|\[|\[0-9A-Z]{0,2})
RewriteRule .* index.php [F]
##### Rewrite rules to block out some common exploits -- END
##### File injection protection -- BEGIN
RewriteCond %{REQUEST_METHOD} GET
RewriteCond %{QUERY_STRING} [a-zA-Z0-9_]=http:// [OR]
RewriteCond %{QUERY_STRING} [a-zA-Z0-9_]=(\.\.//?)+ [OR]
RewriteCond %{QUERY_STRING} [a-zA-Z0-9_]=/([a-z0-9_.]//?)+ [NC]
RewriteRule .* - [F]
##### File injection protection -- END
##### Advanced server protection rules exceptions -- BEGIN
RewriteRule ^administrator\/components\/com_akeeba\/restore\.php$ - [L]
RewriteRule ^administrator\/components\/com_admintools\/restore\.php$ - [L]
RewriteRule ^templates\/your_template_name_here/ - [L]
##### Advanced server protection rules exceptions -- END
##### Advanced server protection -- BEGIN
RewriteCond %{QUERY_STRING} \=PHP[a-f0-9]{8}-[a-f0-9]{4}-[a-f0-9]{4}-[a-f0-9]{4}-[a-f0-9]{12} [NC]
RewriteRule .* - [F]
## Back-end protection
RewriteRule ^administrator/?$ - [L]
RewriteRule ^administrator/index\.(php|html?)$ - [L]
RewriteRule ^administrator/index[23]\.php$ - [L]
RewriteRule ^administrator/(components|modules|templates|images|plugins)/.*\.(jpe|jpg|jpeg|jp2|jpe2|png|gif|bmp|css|js|swf|html|mpg|mp3|mpeg|mp4|avi|wav|ogg|ogv|xls|xlsx|doc|docx|ppt|pptx|zip|rar|pdf|xps|txt|7z|svg|odt|ods|odp|flv|mov|htm|ttf|woff|eot)$ - [L]
RewriteRule ^administrator/ - [F]
## Explicitly allow access only to XML-RPC's xmlrpc/index.php or plain xmlrpc/ directory
RewriteRule ^xmlrpc/(index\.php)?$ - [L]
RewriteRule ^xmlrpc/ - [F]
## Disallow access to htaccess.txt, php.ini and configuration.php-dist
RewriteRule ^(htaccess\.txt|configuration\.php-dist|php\.ini)$ - [F]
##### Advanced server protection -- END
##### Joomla! core SEF Section -- BEGIN
RewriteRule .* - [E=HTTP_AUTHORIZATION:%{HTTP:Authorization}]
RewriteCond %{REQUEST_URI} !^/index\.php
RewriteCond %{REQUEST_URI} /component/|(/[^.]*|\.(php|html?|feed|pdf|raw|ini|zip|json|file|vcf))$ [NC]
RewriteCond %{REQUEST_FILENAME} !-f
RewriteCond %{REQUEST_FILENAME} !-d
RewriteRule .* index.php [L]
##### Joomla! core SEF Section -- END
RewriteCond %{HTTP_REFERER} !^http://mydomain.com/.*$ [NC]
RewriteCond %{HTTP_REFERER} !^http://mydomain.com$ [NC]
RewriteCond %{HTTP_REFERER} !^http://mydomain.net/.*$ [NC]
RewriteCond %{HTTP_REFERER} !^http://mydomain.net$ [NC]
RewriteCond %{HTTP_REFERER} !^http://mydomain.org/.*$ [NC]
RewriteCond %{HTTP_REFERER} !^http://mydomain.org$ [NC]
RewriteCond %{HTTP_REFERER} !^http://www.mydomain.com/.*$ [NC]
RewriteCond %{HTTP_REFERER} !^http://www.mydomain.com$ [NC]
RewriteCond %{HTTP_REFERER} !^http://www.mydomain.net/.*$ [NC]
RewriteCond %{HTTP_REFERER} !^http://www.mydomain.net$ [NC]
RewriteCond %{HTTP_REFERER} !^http://www.mydomain.org/.*$ [NC]
RewriteCond %{HTTP_REFERER} !^http://www.mydomain.org$ [NC]
RewriteRule .*\.(jpg|jpeg|gif|png|bmp|png)$ - [F,NC]