Hi there,
Yes Glasgow is a lovely place to live. Don't believe the rumours.
I am not putting Glasgow down but I have had family up from London before who have commented that Glasgow makes them feel a bit claustrophobic. I also have family who have moved from Glasgow (lived here all there days) to down south and have said how they love the space etc. you get down south. ie. Houses as opposed to tenements.
Saying that though there are some lovely area's of Glasgow which are more appealing to the eye.
I lived away from Glasgow for 5 years (in the northwest) and moved back a year ago. I now live in East Renfrewshire in Glasgow. It covers areas like Newton Mearns, Clarkston, Giffnock. (East Renfrewshire is the council name and it covers areas in the south of Glasgow).
My dd1 started school at 7 back here with an english accent. Like you I was concerned about bullying but she was absolutely fine and none of the kids seemed to bat an eyelid. I had moved back to Glasgow as a child and was bullied for having an english accent so I was greatfull to see that times have changed.
Glasgow is also very multi cultural now. This has maybe helped my daughter settle in without any problems.
My neighbours are lovely and friendly, I have now lived at two addresses in East Ren and they have all been lovely. If anything every happened I would not have second thought about approaching them for help. When new people have moved into our street they have come and introduced themselves etc.
The above areas that I have mentioned are middle class areas (apart from me and my lot!) with low crime rate and excellent schools.
You will easily find a lovely house for rent for that amount a month. Probably a bit less.
There are other nice areas like Bearsden, Bishopbriggs, the west end of Glasgow and probably loads of areas in the south of Glasgow but the schools with the best league results are in East Renfrewshire.
I am sure there will be others along soon to tell you about the other area's you should consider.
Sorry I appear to have written a book 