Cats should wait about a week after vaccination before bathing. This is because cats are prone to stress, and vaccination puts them in a stressful state. During this period, their immunity decreases, and the vaccine itself acts as an antigen, further weakening their immune system. Therefore, cats are more susceptible to illness during this time. It's recommended to wait a week after vaccination before bathing your cat. 
Precautions for cat vaccination:
1. Before vaccination, cats need to be taken to a veterinary hospital for a physical examination, mainly to check their mental state, screen for infectious diseases, and measure their body temperature. If any of these tests are not satisfactory, the cat cannot be vaccinated.
2. First, deworm the cat. If the cat shows no abnormalities, then vaccinate it.
3. After a cat is vaccinated, it is important to prevent illness, keep it warm, and provide appropriate nutrition.