If you need to carry your cat around such as to the vet or while traveling, you need to carry it in a safe, enclosed container. For most people, they travel with a cat carrier with a handle that looks like luggage. However, consider getting a special cat backpack instead.
A cat backpack lets you carry your cat on your back while it peeks out the back. Cats may find a backpack more comfortable than a cat carrier and it’s certain easier to carry than carrying a cat carrier. So if your cat doesn’t like cat carriers, try a cat backpack and see if it makes your cat happier.