Remove "Launch blog program to post" from the SharePoint 2010 blog page

Remove "Launch blog program to post" from the SharePoint 2010 blog page or Blog Tool Webpart by adding the below CSS code :

<style type="text/css">

.ms-blogAdminLinks li+li+li+li

{

    display: none;

}

</style>

You can add this CSS code to your Master Page or Use a content editor.