BuddyPress.org

Try using the Buddypress Registration Options plug in, I use this and it sends me an email once when they first register and then another once they have activated their account.

If you want to redirect all users(admin,subscriber,all roles) to homepage after login, just use this line at your theme functions.php file

add_filter( 'login_redirect', create_function( '$url,$query,$user', 'return home_url();' ), 30, 3 );

Or if you filter a bit, like Admin users will redirected to dashboard, and all others to home page, you can place this code instead of that

function wp_bp_custom_login_redirect( $redirect_to, $request, $user ) {
	global $user;
	if ( isset( $user->roles ) && is_array( $user->roles ) ) {
		if ( in_array( 'administrator', $user->roles ) ) {
			return $redirect_to;
		} else {
			return home_url();
		}
	} else {
		return $redirect_to;
	}
}

add_filter( 'login_redirect', 'wp_bp_custom_login_redirect', 30, 3 );