*puts hand up* Me, me!...

We haven't had a car for the past 3+ months, and before that DP would take it to work with him anyway, so I am left to rely on getting to places with Aidyn on public transport...

I have found that trains and ferries (the big city cats) are no hassles at all.
You just need to check out if the train station you need had disability/pram access, otherwise you might have to rely to a passerby to help you with carrying the pram up/down the steps.

I have huge issues/fears with the buses atm though... As I have a massive, heavy pram, as well as a baby who isnt really old enough to sit by himself on a bus seat while I collapse the pram... so I havent caught a single bus with Aidyn since he has been born. However this will get a fair bit easier in a few months when he is standing etc... then I will be able to put him down and get the pram and everything ready to hop on the bus.
Another way of resolving this also might be to buy a smaller stroller (one that can be collapsed with one hand) for when you take the bus - however bear in mind that strollers aren't usually suitable for newborns - 4 months of age, as a lot of them dont have backrests that fully recline.
Btw, buses aren't likely to pose any problem at all if there are 2 of you ( + bubs) that are catching it...

Also... if you like excercising then walking is always a good option
I hate the thought and stress of getting a bus so much that I will walk the pram for 35-40 mins to get to our nearest major shopping centre.

And for grocery shopping, I wait until DP is home, and then I trek down to our local Woolies, and then catch a cab back home with the groceries. Otherwise I think you can get them delivered to your door, however that means they need to be purchased earlier in the day, which might be hard to do if there is no one to watch bubs.

Oh, you also might want to buy a carseat/capsule anyway, incase you are ever driven anywhere by friends/family etc.

Umm... and as far as taxi's go... I have never used one when I've had Aidyn with me. I think there is usually a surcharge (in Qld it is $11) if you need one with a carseat. Also ring quite a few hours before you need the cab just to make sure that there will be one available for you...

Anyway, thats all I can think of for now... HTH!