As said, it all depends on your budget really and what you want. - Edit, just seen it. That's a good budget, and will get you a very nice 1 or 2 bedroom flat in Merchant City no bother. I'd go with there if you want the hustle and bustle of city living, close to great bars and restaurants and have a nice flat. If you want a quieter life, then go south of the river. The West End way is nice, probably the most expensive, and is full of students. But there are nice bars, restaurants and everything.
I only really know the city center/east end and merchant city. Someone else can help with the south side and further a field. Though, Bearsden and Milngavie are amongst the two most prestigious areas. Your budget will easily get you somethere there I suspect.
I live in Dennistoun, which is alright. It has a good mix of students and professionals and the obligitory Glasgow scumbags but you'll get them wherever you live. It's pretty cheap as well. But it doesn't really have any nice pubs but then again it is only 10 minutes walk from the city centre.
If I was to move in Glasgow I would be looking at Shawlands. It's cheaper than the West End, isn't full of pretentious muppets and is quite 'up and coming'.
If you can afford it, Merchant City would be up on my list as well. It's right beside the City Center and is full of bars, restaurants and the like. It caters to a older, more professional crowd so you won't see heaps of students throwing up around it.
Glasgow City isn't *that* dangerous, no more than anywhere else I'd say. The crime (which there is admitably a lot of) is generally contained within the schemes (high rise council estates) so as long as you don't live there you should be fine. Easterhouse, Possil, Sighthill etc.
As for the night time safety, Aberdeen is a lot worse and a lot more violent than Glasgow. I've lived in both, and I feel a lot safer walking the streets of Glasgow at night than I do in Aberdeen.
Give us a budget, and what you want near you and we can help further.
I also think we should organise a Glasgow/Scotland meet, in Glasgow so you can come to that.
tl;dr - Check out Byres Road (West End), Hillhead (West End), Shawlands (South Side), Merchant City, Bearsden (bit further out of the city).