Glaswegian here, mildly offended that you think that my place of birth and home city is 'crime-riddled', but pleased that you're willing to reconsider that opinion. 😄
I was born, brought up up and currently live in Glasgow, but have lived all over the world, including London, Paris, Tokyo, Seoul, New York and Chicago (and Edinburgh!). Yes, there are parts of Glasgow that are a wee bit rough, but no more so than any other major city (of all the places I've lived, Paris is the one that really scared the shit out of me).
Obviously I am Scottish and therefore a bit biased in believing that this is God's Own Country, but I would recommend spending a bit of time here before you commit, ideally over the autumn/winter: as PPs have mentioned, it's not so much the weather that can come as a culture shock to incomers, as the darkness - come December/January, we're lucky if we get ~8 hours of 'good' daylight and that can be hard on people who have come from more temperate climes.
North of Stirling (Perth, Dundee, Aberdeen, Inverness etc) is lovely, but please also remember that Scotland is a 'big wee' country: it takes quite a LONG time to get anywhere from there, which is worth bearing in mind if you like visitors.
Anyway, you'll be very welcome (just don't forget your big coat).