Crossing the border with your pet requires completing several procedures:
1. Review the destination country's requirements on the official website of the State Service of Ukraine for Food Safety and Consumer Protection
2. Visit a veterinarian for microchipping and rabies vaccination
3. Submit blood for rabies antibody titer determination at a veterinary laboratory
4. Carry out antiparasitic measures
5. Obtain veterinary certificate F-1 at a state veterinary clinic
6. Obtain an international veterinary certificate by contacting the relevant authorities of the State Service of Ukraine at your region's border
Be sure to check operating hours before departure.
Source: State Service of Ukraine for Food Safety and Consumer Protection