I've honestly never felt unsafe in downtown Vancouver. Walked around at night with my kids back in May and never worried. It's scary in the this is ####ed up kind of way not scary I'm going to be mugged. Most of the problem spots are easy to avoid as well. You could also walk. BC Place is only 15-20 minutes from waterfront or down to the little ferries. Train would save a few minutes. If those are your trips I see no need for a car. Taken the train more than a few times from downtown to YVR it is pretty easy and quick.
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