Are you moving your pets with you then you should read IATA website to know about Live Animal Regulations. By reading website, you would know that which documents, you need to carry with you. If you are visiting India then read Transport of Animals, Rules, 1978.
If you have dog and want to move your dog with you then dog must be vaccinated by an authorized veterinarian like as Vaccination against rabies. Health certificate is important document that should be carried with you during moving.
You should get also rabies antibody test card from approved laboratory.
Even your pet must be vaccinated against tapeworm. You need to apply for pet permit. When you will apply for pet permit then you will get checklist of required documents.
Pet Cage Guideline
To handle your pet during journey, you need pet cage. There are specific guidelines for cage.
Even there are also container requirement rules which you should read.
Even there are also container requirement rules which you should read about it. If you do not want to handle these types of rules then you should hire packers and movers companies to relocate your pet.