Hi Proud,
The job market in Adelaide is pretty bad right now, generally. Though I don't know about your specific area. I'm from an IT background and I've been looking for 10 months. A mate has got me some casual work, a day here, a day there, but that's it. It's hard to get low skilled work just to get by on, because everyone is after that kind of work.
Which is a shame, because Adelaide is great city to live in. It's a good size, not too big, not too small. Beautiful hills on one side, great beaches on the other. I have experience of all the Australian state capitals from being here on a working holiday visa many years ago, and I reckon Adelaide is the nicest place to live and raise a family. There might not be as many 'attractions' to visit with kids as back in the UK (where I'm from), but the outdoor activities you can do are limitless. Swimming, cycling, kayaking, bush walking, fishing, whatever. Doing outdoor stuff was what I liked most as a kid. You visited 'attractions' just to get yourself out of the rain. So what if there's no Blackpool Pleasure Beach, you can actually swim in the sea here.
It's possible to live fairly cheaply. I'm paying $290 a week for a three bedroom house in a reasonable suburb, 20 min walk from the tram that runs between the bay and the city centre. Groceries tend to be more expensive than the UK, in theory, but it's possible to find special offers all the time, so in reality, not really more expensive in my experience. Petrol is about half the price, if you shop around. Utilities, kind of similar to the UK. Houses here are really badly insulated. My house is anyway. It's freezing right now. I expect my electric bill will be large this quarter.
In conclusion, Adelaide is, theoretically, an awesome place to live, in my opinion, but the job market is terrible. It's driving me nuts. I got sponsored by SA, so I'm supposed to live here for two years. If I can't get a job before too long, I'll have to see about looking in Melbourne or something. Which I don't want to do, as I don't really want to live in Melbourne. I want to live in Sydney less than Melbourne. And I want to go back to the UK even less than that.
With the job market like it is, and being a single mother, I think you'd be taking a really big risk coming to Adelaide right now. You could blow through $25k pretty quick just setting yourself up. If you get a PR visa, one like mine anyway, you've got a year to get here to validate it, and another four years in which you can come and go as you please, after which you can't get back in, if you leave. If you're really set on Australia, and it has to be Adelaide, I'd advise, getting your visa, then start applying for jobs from Ireland. Before the first year runs out, fly over on a three week 'fact finding' trip/holiday, validate your visa, then fly back. You've then got 4 more years in which you could keep applying for jobs in SA, save money, get some more skills and job experience, and hopefully the job market will pick up in that time.
No harm in getting the visa anyway. I used an agent. Money well spent in my opinion. Took the sting out of it, and helped me avoid some pit falls I would have fallen into otherwise.
I hope it all works out!