the baby bonus is $4000 for 1st child. govt will pay out $1000 4 times into your specified acct (either yours or your hubby's). govt pays out at birth, 6mths, 12mths and 18mths.
the one that matches every dollar you put in up to $6000 is called CDA (child development acct). you have to open this acct under your child's name and either yours or your husband's name. you can only choose between the 2 participating banks, standard chartered or OCBC.
you apply for both after your child is born. you will receive a pack at the hospital giving you all details of the scheme. then you fill up the form and hand in the form at a counter set up to receive such forms.
as for entitlement, you might want to check the baby bonus website. https://www.babybonus.gov.sg/bbss/html/index.html