Add choices to Sharepoint Multi-Choice Field

Setting field values of a list item in SharePoint is easy.  But when it comes to Multi-Choice fields, the code is a big different.  The following code shows how values can be added to a multi-choice field.

SPFieldMultiChoice choiceField = (SPFieldMultiChoice)myWeb.Fields["choiceFieldName"];
choiceField.Choices.Add("Value");
//Set PushChangesToLists to true if automatic update of List or Content types is required
choiceField.PushChangesToLists = false;
choiceField.Upate();