You can find excellent safety tips for motorists, cyclists, and pedestrians at LookOutTexas.org. Check it out. Here are just a few:
Bicyclists are required to stop and yield at traffic signals and stop signs.
State law requires bicyclists to operate with the same rights and duties applicable to a driver operating a motor vehicle.
Use hand signals to let others know when you’re turning, changing lanes, or stopping.
Signaling your intentions gives drivers notice of your movements. Look over your shoulder and up ahead (scan), then signal your turn and make your move.
Be aware of other vehicles and predict movements of drivers and pedestrians. Anticipate turning movements and opening car doors to avoid collisions.
Ride as far to the right as practicable.
Practicable does not mean possible. Do not ride in the gutter, avoid hazardous conditions such as debris and potholes. Be sure to leave enough room to avoid hazards like parked cars with opening doors. A cyclist may ride in the middle of the lane if the lane is less than 14 feet wide or is too narrow to safely operate with a motor vehicle side by side.
Always ride in the same direction as traffic.
Bicyclists operate as vehicles when in the roadway and are required to travel in the same direction as other drivers. Never ride into the flow of oncoming vehicles– this wrong-way travel is one of the leading causes of bicycle-motorist crashes.
Claim your space at intersections.
When approaching an intersection, use the rightmost lane going in your destination direction. When making a left turn with multiple turn lanes, select the rightmost lane turning left. Position yourself at intersections to be seen to avoid a crash.
Be seen while riding at night.
Wear reflective materials and white or bright colors. When bicycling at night, a front headlight and a rear reflector or rear red light are required by State law (see Sec. 551.104. Safety Equipment).