I'm able to afford everything whilst also saving money each fortnight. I am currently a SAHM but would like to pick up a few days of work next year. I have two children aged 3&7.
My rent is half my fortnightly income from centrelink and the house is a little overpriced for the area but it ticked all the boxes for us.
You have to budget. There's no other way. Shopping at aldi I've found helps immensely and limiting take away to once a week/fortnight. I'm able to afford swimming lessons for the kids too.
It may be beneficial for you to look at working one or two days a week and putting your bub in care on those days. You can apply for the JET scheme to help with child care costs as well so the money you earn from those two days of work doesn't immediately go on day care fees.