Following the Home Office press release regarding the immigration plans in the case of a no-deal Brexit on the 31st of October, we would strongly recommend that you apply for Pre-settled status as soon as possible under the EU Settlement Scheme.
The online application process is straight forward and fairly quick to complete: https://www.gov.uk/settled-status-eu-citizens-families/applying-for-settled-status.
Brexit- the transition period
There is now a transition period until the end of 2020 while the UK and EU negotiate additional arrangements.
The current rules on trade, travel and business for the UK and EU will continue to apply during the transition period.
New rules will take effect on 1st of January 2021.