you can't take pets on the Eurostar. They only permit guide and assistance dogs

https://help.eurostar.com/faq/uk-en/...et-on-Eurostar.

You can on the Eurotunnel but that would mean hiring a car and the complications of that. Still need to comply with the pet transport regulations as well.

https://www.eurotunnel.com/uk/travel...with-your-pet/