How to set the default value of an exposed filter rather than -Any-?
You can use hook_form_alter() to alter the any drupal form.
example :

function yourmodule_name_form_alter(&amp;$form,&amp;$form_state,$form_id){
  if($form_id == 'views_exposed_form'){
  $form['field_width_value']['#default_value'] = 'whatever you want';
  unset($form['field_width_value']['#options']['All']);

 } 
}