It may be wise to use an over the counter antihistamine to reduce the swelling. Administer 1 milligram for every pound that the animal weighs and repeat the treatment every six to eight hours.
There are a number of other treatments that you can do at home in order to relieve the itchiness and discomfort that your pet is currently experiencing. Give your pet an icy bath and allow it to soak for about ten or twenty minutes at least once per day. If your pet is too tall for the bath water to cover all of the itchy areas, then use a cup to pour the water over him or her.
Lastly, try filling a cotton sock with Oatmeal Flakes and run water through the sock. Placing the wet, oatmeal sock on the hives will soothe the skin.