HI hun,

its tough isn't it? I've been thinking of this lately. But my mum has agorophobia and anxiety issues, so going out isn't really an option for us! But just making healthy foods for the times you are at home with them is a good option, so veggie sticks with dip, healthier slices, fruit platter, fruit kebabs.....maybe with a picnic out the back yard. Then your DD could run around, and maybe they will get in on the active action!

Some out and about ideas:

Fairfield city farm is still open and running (for now!). Lots of fun for little kids.
Mount Annan Botanic gardens, they have a nice park for kids which is fenced in!
Mowbray park is out your way too, it's supposed to be good for young ones.
There are museums all over the place!!
Maybe a bit far, but Sydney Olympic Park at Homebush is great, there is an aquatic centre, parks for picnics, bike tracks....
What about outdoor cinemas, there are a few around Sydney and surrounds.
Bowling, tennis, cycling/skating at a park

There's tonnes of stuff to do out there, it will just take some searching and organising, and trying to convince everyone it's a good idea!