"They are OMNIvores though. I will keep dogs and cats (carnivores), but I don't want any more bunnies, mice, guinea pigs, hams, etc."

No, actually dogs (like humans) are omnivores, not carnivores, they can survive without meat. Cats however require a few things that are only found in flesh, like taurine. (So if you want vegan/vegetarian cats they have to have suppliments/food that is fortified with taurine. http://vegancats.com "Although Taurine naturally occurs only in animal tissue, synthetic Taurine has been produced on a large scale since about 1930. In fact, many meat-based pet foods utilize synthetic Taurine to meet nutritional requirements as well (most naturally-occurring Taurine is washed away during the rendering process)!")