Oh Jesus Christ! Limerick actually has and has pretty much always had the lowest major crimes per capita than any city in Ireland. (And Ireland, even at it's worst has extremely low crime rates by any metric.) In the mid-90s as the IRA, which had previously controlled any drug trade, loosened that grip a number of crime families started to emerge to fill the void. In Limerick two families wrestled for supremacy and a few of them killed each other in short succession and the media went into a frenzy about it. Everybody else went on with their lives unaffected. Though the Garda (police force) presence was increased due to media pressure. I was in my late teens, early 20s at this point and the city was so safe, I'd often walk the mile and half from the city centre to my home at any time from 11pm-4am without ever feeling remotely threatened. I had a lot more issues living in Dublin and London than I ever did in Limerick.
Limerick is a very sports orientated city. Rugby is king and Limerick is one of the few places where there is no class connotations to the sport. Though there is also soccer, gaa, numerous water sports, roller-derby, etc. So in some ways it might suit people used to a sporty Australian lifestyle, though the weather is truly, truly dire, probably the some of the worst in Europe due to our position on the Shannon estuary. In terms of schooling, like all of Ireland, if you aren't ok with some very full on Catholic schooling it won't be easy. There is one CofI and two multi-denominational primary schools in the city region. One CofI secondary and a multi-d due to open in September (though I don't think the cite has even been confirmed yet). To add to the pain in the ass of that, one multi-d primary is in the city centre and very over subscribed, the other is in Mungret and easier to get places in. The secondary however is opening in Casteltroy, so a 20 minute drive apart, which isn't helpful in terms of transitioning children from one school to the next.
In terms of housing, there are lots of really nice areas to live in but we are currently experiencing a housing crisis meaning there is very, very little to rent or buy especially if you don't have mega-bucks. I have my suspicions as to whether this is real of artificially manufactured but as 3 years ago it was possible to buy a large detached house on half an acre in a great area for a price that wouldn't get you a shitty studio now, I lean towards the latter. In terms of where to live, suburbs like Castletroy, Mungret, Annacotty and Raheen all have lovely areas within them, though I have a preference for city suburbs like the areas around the Ballysimon Rd or Corbally because I prefer to have everything I need in walking distance rather than having to be car reliant. There is also the option of living more rurally, Castleconnell is an absolutely fantastic village but still only about 25 minutes from the city centre, or areas like Ballyneety, Kilonan for a fully rural home a short drive from town.
Limerick isn't by any means perfect. It's a small city that has been very badly managed by local government and some very, very bad decisions were made in the last years of the Celtic Tiger (or more correctly at the start of the recession while developers were still in denial). So there are unfinished developments and whole blocks that were bought up, cleared out for redevelopment but abandoned when the money ran out. There are a number of projects starting now to finally finish these projects but it will be a few years before the damage is undone. There are also some areas that you really wouldn't want to live in. But overall it's a very easy place to live and my quality of life is much, much higher here than it was in a bigger city. Though, I'm not sure how that would compare to your life in Australia.