If you have
PR Visa you can claim Family Assistance(like child benefit) Child Care benefit ( help with Child care costs) and Rent assistance.All of these depend on what you earn but you receive them straight away.
With the Tools/Overall Cleaning etc it is not a benefit but a tax decution which is submitted with your tax return.
You can also receive the Baby Bond if you have a baby soon after arriving.And you are also entitled to the First Home owner grant.
Unemployemet benefit Etc is a two year waiting period.