Redirect 'user' and 'user/uid' to 'users/name'
By redirecting /user you'll be redirecting the login page to a user page.  When someone goes to /user and logs in they are automatically redirected to /user/username.  Unless you have login disabled(not advised) I can't see what you want to achieve, can you explain further?

Redirects are best handled by the path redirect module

or using rules in .htacces or etc/apache2/httpd.conf