A ton or two of steel always makes me a bit nervous, whether I'm on my bike, on foot, or driving that ton. My route to work goes mostly on bike paths that are a marked section of the sidewalk. I tend to do the crossings on foot, because that lets me stop quicker when drivers look straight at me and keep on going. Eye contact is a must, but still no guarantee! Luckily, most of the instersections I go through have bike and pedestrian underpasses, so I don't have to dismount all that often.
Good to hear you're only a bit scraped and bruised. Good that the driver took repsonsibility (too late, but still ...) and will cover your repair costs. Good that you're able to get back in harmony with the universe (and back on your new bike without being overly nervous). Stay safe out there!