I'm not sure if theft is a problem. If it is it's probably not a big problem as I can't remember hearing too much about it. My bikes are never left outside or anywhere that's not secure anyway.
Dianella is about 10km north of the city.
I've heard that there's 100,000 South Africans living in Perth so you should feel right at home. I work with two of them. Perth may get the 4th Aussie Super 12(14) team as well so you may be able to watch some rugby as well.