best way to move a subdoamin to its own domain name

[Tigger]

I have 40k+ indexed google pages for one of my subdomains called name; like
http://name.mysite.com

now i want to move this subdomain to its own domain name like
http://www.name.com

but at the same-time i want to keep all the already indexed links valid; that is all pages like

http://name.mysite.com/nme.php?var=....

should automatically redirected to

http://www.name.com/nme.php?var=....

how can I achieve something like that ?

 

[Clowner]

http://www.google.com/search?&q=link+forwarding+with+htaccess
maybe this can help

 

[Tigger]

Thank you...
someone mentioned to use this

#Options +FollowSymLinks
RewriteEngine on
RewriteCond %{HTTP_HOST} ^name.mysite.com$
RewriteRule ^(.*)$ http://www.name.com/$1 [R=301,L]

in my .htaccess

 

[coldabhishek]

Yes it will work if you put that code in your .htaccess