BSN
Every person who lives in the Netherlands has a registration number: a BSN (burgerservicenummer / citizen service number). This is a unique personal number consisting of 8 or 9 digits.
You use your BSN to communicate with Dutch government agencies and to access some other services. For example, you need a BSN to get insurance, open a bank account, receive your salary, register your child at a school, and to apply for benefits.
You will be issued with your BSN when you first register in the population register (BRP) of the municipality you are living in (or during your appointment at Holland Expat Center South if you do your municipal registration there). Dutch citizens are issued with a BSN when they are born and registered into the population register.
BRP
The BRP (basisregistratie personen / personal records database) is a government database containing the personal data of every resident in the Netherlands, such as their name, BSN, place of residence, and nationality. For a full list of all the information contained in the BRP, see what information is in the personal records database on the government.nl website.
Each municipality has its own BRP. If you change address or leave the country permanently or for an extended period, you need to notify the municipality. Read more about the Personal Records Database on government.nl.
RNI
If you are moving to the Netherlands for less than 4 months, you can register as a non-resident. You are then registered in the non-residents record database (registratie niet-ingezetenen / RNI). You can only register in the RNI in certain municipalities. A list of the 19 RNI municipalities can be found here on the government.nl website. Eindhoven is on the list.