You're comparing apples and oranges. Canada was founded on the principles of "peace, order, and good government" rather than "life, liberty, and the pursuit of happiness". British legal traditions are quite a bit different, more authoritarian. This has positive and negative consequences, for an outsider the positive consequences are more noticeable.
The climate plays a role, when people are struggling against the winter 8 months a year, they have less energy to fight with each other. Guns are much more difficult to obtain, personally I have never seen a handgun that wasn't in a cop's holster. Anyone can obtain one who really wants to, providing they fill out the proper forms and are willing pay outrageous amounts of money.
I suppose it is true that there is more of a social safety net here, so that less people fall between the cracks and are less likely to turn to violent crime. This is becoming less true all the time, however.
If it is Vancouver you are moving to I think you will find it is not quite as safe as you imagined it to be.
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