How will Brexit Affect my Travel Plans?
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Trailer / Caravan
IF the UK and EU reach an agreement, UK nationals would be able to enter the EU visa-free for short periods after Brexit, with EU nationals enjoying the same conditions when travelling to the UK. For more information, see: http://www.europarl.europa.eu/news/en/press-room/20190403IPR34819/brexit-reciprocal-visa-free-access-for-eu-and-uk-nationals
The ETIAS (European Travel Information and Authorisation System) would be a system where Britons would pay a small amount (possibly around £7 at current prices) every three years to travel to EU countries, with this document being used instead of a visa. However, no decision will be reached until after the UK has left the EU. For more information, see: https://etias.com/.
The latest advice is still that you should have at least 6 months left on your passport from your date of arrival. For more information, see: https://www.gov.uk/guidance/passport-rules-for-travel-to-europe-after-brexit.
Travel to and from Ireland looks to remain unchanged. For more information, see: https://www.gov.uk/foreign-travel-advice/ireland/entry-requirements.
Travel with your Pets
It's likely that you will need new documentation to allow your pet to travel. Current guidelines state that you must not travel to Europe with a pet after Brexit without all the required health checks and documentation. For more information, see: https://www.gov.uk/guidance/pet-travel-to-europe-after-brexit.
Driving in Europe
Driving in Europe will require extra documentation in the event of a no-deal Brexit. You should acquire an International Driving Permit (IDP), carry your log book (V5C, or VE103 for a hired vehicle) as well as a Motor Insurance Green Card (evidence of motor insurance cover) for the vehicle and a separate one for a trailer or caravan. For more information, see: https://www.gov.uk/guidance/prepare-to-drive-in-the-eu-after-brexit.