If you're planning on including your pet in your wedding ceremony, make sure that you have a friendly face walking him or her down the aisle. You may also want to have someone familiar at the end of the aisle for your pet to walk towards.
I don't recommend putting your actual rings on your pet if he or she will be your ring bearer. Pick up a pair of fake rings at a local party supply store and give the real ones to a human best man or have the groom keep them in his breast pocket.