Before you become convinced that you should never jibe, I would float the opinion that while jibing CAN be dangerous, it is not necessarily dangerous, even in high wind. In appropriate conditions with proper execution by a good crew, you would almost always jibe when changing tack while sailing off the wind. However, if you are unsure about how to jibe safely and/or about the skill level of your crew, it is safer to tack all the way around, even when sailing downwind (i.e., come up, tack, and fall off again).
In general, the procedure for jibing is
issues the order "prepare to jibe"
2. while slowly heading towards a full run, the crew will gradually sheet in the main to bring the boom towards the center line
3. if the winch
has a tailer or any locking mechanism, be sure the mainsheet is ready to be freed quickly. Once you actually come through the wind (astern), you want to be ready to quickly ease the main all the way out
4. crew issues the response "ready"
issues the order "jibing" and turns to bring the wind across the stern
6. again, if you don't ease the main immediately after the wind crosses the stern, the boat will try to turn up into the wind, sometimes violently.
The mistake inexperienced people often make is jibing without controlling the boom (by centering it). Consequently, they have to sail by the lee in order to backwind the sail, and once that happens it swings violently across and, yes, it can be very dangerous to people and rigging
Don't be afraid to jibe, just do it at the right time. Practice in light winds where even a crash jibe won't do much damage. Just keep your head down!