Caching variables for events without making them global

You can say that this would apply to most events but in my case the change event for select boxes. I have two select boxes. I want to insert/re-insert depending the options from the select box depending on which option is selected within the first select box. I've managed to do this but with the caveat of making a global variable for the options I want to manipulate. Is there a way to do this within the event or some sort've workaround where the variable isn't global?

HTML

<select id="vehicles">
  <option value="motorcycle">Motorcycle</option>
  <option value="bicycle">Bicycle</option>
  <option value="unicycle">Unicycle</option>
</select>
<select id="speeds">
  <option class="remove" value="four">Four Speed</option>
  <option class="remove" value="three">Three Speed</option>
  <option class="remove" value="two">Two Speed</option>
  <option value="one">One Speed</option>
</select>

JS

$(function() {
  var options =  $(".remove");

  $("#vehicles").on("change", function() {
    if ($("option:selected").attr("value") == "unicycle") {
      options.detach();
    } else {
      $("#speeds").append(options)
    }
  });
});

JSFiddle