COVID-19 vaccines

https://www.gov.uk/foreign-travel-advice/france/entry-requirements

Travel to France from the UK from 9 June
From 9 June, new measures will apply to travellers from the UK to France.

Those who are not fully vaccinated will need to continue to follow the current measures, as set out above. Testing requirements will however change: you will be able to take a PCR test within 72 hours of departure, or an antigen test within 48 hours of departure. There will be random antigen testing for unvaccinated arrivals.

For those who are fully vaccinated, you will need to have proof of a negative PCR test within 72 hours of departure, or an antigen test within 48 hours of departure. However, you will not need to justify an essential reason for travel or to self-isolate on arrival.

The French Government recognises the following vaccines: Pfizer, Moderna, Oxford/AstraZeneca, and Johnson & Johnson (the vaccines recognised by the European Medical Agency). “Fully vaccinated” is defined by the completion of a vaccination schedule, specifically:

2 weeks after the second dose of Pfizer, Moderna, Oxford/AstraZeneca
4 weeks after the single and only dose of Johnson & Johnson
2 weeks after the single dose of any of the above vaccines if you have previously tested positive for COVID-19

TLDR:

From today, If you are fully vaccinated, you do not need an essential reason to travel. If you are not fully vaccinated, previous rules apply, which means you need essential reason to travel.

My wife and kids who are all dual nationality, can travel without restriction, though all of us will need to self isolate for 7 days.

Edit: I’ve just re-read, and I should be ok as classified as fully vaccinated, due to having had covid and 2 weeks after single dose of Pfizer!