I went through a community college class (over ten years ago) called Effective Cycling. I highly recommend it. Here are some of the tips I got:

Drivers think: Bicycle = Slow. When you're coming up to a stoplight, cross road, or any place where a driver might cut you off, shift into an easier gear and spin. You're feet will be moving faster, but your bike will go the same pace AND the driver will think you're moving faster. And always be ready to yield the right of way, just in case.

SIGNAL your intentions. Drivers will often give you a break if they know what you're going to do next.

DO NOT ride too close to the right side of the road. There are several reasons for this:
1. When a driver is going to enter a main road, they often pull the front of their car into the road, or bike lane, thus cutting you off.
2. When a driver is going to enter a main road, they're looking for cars, not bikes. Their field of vision isn't going to sweep far enough to the left to see you.
3. Bushes, trees, signs, etc., can keep them from seeing you.
4. If you're not squished against the curb, you still have some wiggle room to dodge glass, etc.

Wear bright bright colors. Best colors are day glo yellow, green and orange. Worst colors, grey, black, dark blue & dark purple.

There is a book called Effective Cycling that will give you lots of other tips.

Kim