Yes, you can take your pet with you when you move to Germany from the UK. Among the main arrangements, we can indicate making official health certificates for your pet, choosing the right airline, understanding the German rules and regulations regarding transporting pets and choosing the most convenient and safe kennel.
Please bear in mind about few important things:
up-to-date vaccination records against rabies (you must wait 21 days from the date of the rabies vaccination before travelling),
up-to-date veterinary health certificates, (clinical examination, deworming, deticking) taking into account the regulations of the country of departure, the country of destination, and any transit airports,
special passport (issued by a vet) with a description of the colour, race, and sex of the animal together with a microchip number or tattoo,
microchip implant,
suitable container