The most common way to pack clothes without wrinkling them is to neatly roll them up. Unfortunately, if your clothes are already wrinkled rolling them won’t magically remove those wrinkles. If you’re looking to spend some money, a travel steamer is a gadget that many people will travel with to remove wrinkles from their clothing while travelling. You can also use it beforehand, steaming out your articles of clothing before rolling them, as the prep work before travel is the best way to keep wrinkles out of your fabrics.