Mike Walton, the owner of two Bichon Frisé, from near Manchester, faces a similar problem.
Despite being an Irish passport holder and spending part of the year in Portugal, the fact he is a UK resident means he can no longer travel with the EU pet passport.
The 77-year-old the BBC that the EU pet passport, which his dogs currently have, contains much the same information as an animal health certificate.
“I spoke to my vet, and they told me we don’t do health certificates,” he said.
“The other vets who have said they will only do them for their own clients. I’ve been with my existing vet for 10 years and they know my dogs. Changing vets is not something I really don’t want to do.”
He said he had been quoted prices of about £300 for his two dogs for the new animal health certificates, with a cost of £85 each for new rabies vaccinations required to get the certification.