Consider your patrol unit's driver side window. Driving at higher speeds with the windows down can damage your hearing. True, an open window can help you listen for cries for help, shots fired, or even some tweaker yelling at his buddy to "Stash that shit!" But if you're rolling hard on a call, roll up your windows. Too much exposure to wind rushing into your ears and traffic and highway noise might mean the difference between your needing a hearing aid at 55 or at 85.
When you arrive at the scene of a call in an unfamiliar area, take a second and get to know the lay of the land. This is good advice regardless of whether you work in a big city or a suburb.
Look both high and low when you move. If you keep your eyes high and never look down, odds are you'll step on a rake or a cinder block or something that can get you hurt. And if you keep your eyes glued to the ground, you may be taken down by a low-hanging tree branch. These hazards are much more difficult to negotiate in the dark.
It follows that if you're working an area where you're apt to be on foot for vast stretches of time—either due to foot pursuits or the number of calls that take you to areas not accessible to your patrol car such as tenements and apartment complexes—then do some prior reconnoitering of the area.
Also, look out for your fellow patrol officers by sharing information about the hazards that you find. You may even be able to get the hazard removed. For example, knowing about the abandoned refrigerator that lies around the blind corner of dope-runners alley is fine, but it's better to have an abatement team cite property owners for such landscape deathtraps that hinder your ability to safely do your job.