Melbourne must dos for a 4yo and a baby

[TwoLittleTerrors]

I'm staying for 5 days in melbourne in late March. DH is there for work so it will be just me and 2 DDs, 4yo and baby. Any suggestions for activities I can do with the 4yo with a baby in pram? I'm thinking zoo, parks that kind of thing. Our accommodation is in the city centre near the etihad stadium.

Loads of kid stuff in Melbourne ??

Melbourne Museum (good childrens gallery with stuff to touch and there's an outdoor playground there too). Adults are about $20 and kids are free.

National Gallery usually has a childrens exhibit. Free entry.

Childrens garden in the Botanical gardens is lovely, and open Tues-Sun (I think).

Prahran Market has a petting zoo and an entertainer on a Thursday morning.

Melbourne Zoo is very good.

Aquarium is good too.

You can breastfeed everywhere in Victoria (just so you know), and most cafés etc are child friendly. Myer on Bourke St and Melbourne Emporium have good parent rooms with loos/places to feed/run around.

Thanks scotinoz very helpful. That should fill up our week nicely.