I've been bicycle commuting in some form or another since before I was double digits. At first it was next door, then down the street, then town to town, now on busy roads getting to work and back every day.
I've had more real close calls with cars while a pedestrian on foot than while on my bike, and I've ridden on back roads, dirt roads, minor highways, downtown streets, MUPs, offroad, dirt tracks, rush-hour major roads, you name it, I'll ride a bike on it. lol
I can honestly say 95% of any danger I've been in was my own fault being a jack-*** and every single wipeout I've had falls into that category.

Keep your wits about you, enjoy the ride and pay attention when playing in traffic and you'll probably be just fine.