EU/EAA CITIZENS
As an EU/EEA or Swiss citizen you do not need a residence permit to live in the Netherlands. The passport or ID document of the country in which you hold nationality allows you to stay in the Netherlands. You are not required to report to Immigration Services (IND).
If you are staying in the Netherlands more than 4 months, you must register in the Personal Records database.
You do this in the municipality where you will live. check here
If a family member who is not an EU/EEA or Swiss citizen intends to stay with their family in the Netherlands, they must register with the Immigration and Naturalisation Service (IND) and apply for a residence permit.
You can find more information about residency for Third Country Nationals who are family members of an EU citizen on the Immigration and Naturalisation Service (IND) website. Immigration and Naturalisation Service (IND) website
Non-EU CITIZENS
You will need a residence permit in order to stay in the Netherlands for a period of over 90 days. Your eligibility to work legally in the Netherlands is explained in the Immigration and Naturalisation Service (IND) brochure Coming to work in the Netherlands.
Requirements for residency permits vary per type and country of origin. More information and application forms can be found on the Immigration and Naturalisation Service (IND) website.
BREXIT
British citizens (without an EU passport) now fall under two categories:
1) If you were resident in the Netherlands before 31 December 2020 you are covered by the Withdrawal Agreement
2) If you moved/will move to the Netherlands after 31 December 2020 you must apply for a residency permit
More information can be found on the IND website's page Living in the Netherlands after Brexit and the Dutch government's website.
SHORT STAY VISAS
Depending on your nationality, you may need a short stay visa if you would like to visit the Netherlands on holiday, for a family visit or for business. A short stay is maximum of 90 days.
Visa requirements for travel to the Netherlands can be found on the IND website.