There will be no change to the rights and status of EU nationals living in the UK, nor UK nationals living in the EU, while the UK remains in the EU.
Although there is no recent history of terrorism in Estonia, attacks can’t be ruled out. See Terrorism
You must have the original V5 C (Vehicle Registration Document) if you are driving into Estonia. See Road travel
Over 115,000 British tourists visit Estonia every year. Most visits are trouble-free.
Take sensible precautions against petty crime. See Crime
If you need to contact the emergency services call 112.
If you’re abroad and you need emergency help from the UK government, contact the nearest British embassy, consulate or high commission.
The Overseas Business Risk service offers information and advice for British companies operating overseas on how to manage political, economic, and business security-related risks.
Take out comprehensive travel and medical insurance before you travel.