Hi Mac,
There are a lot of great comments in here, and I'd like to chime in with a few of my own. Every sailor should learn how to gybe, and well. It's one of the fundamentals of competently operating a sailboat. Why? Well, there are just certain times where tacking doesn't make sense. No sea room, risk of collision with another vessel, etc.
There are some dangers to gybing 'wrong' - this is typically when most serious injuries and equipment damage occurs on a sailboat. This problem usually involves not controlling the mainsheet and traveller, and allowing the mainsail to gybe with too much available slack. With a fair bit of wind and too much slack in the mainsheet or traveller, a 30 footer will have enough power in the mainsail as it crosses for the boom to crack a person's skull and send them overboard, unconcious, perhaps with a serious spinal injury just for good measure. Thus the name, 'boom'. So skip that part.
The good news is that done right, gybing is a pretty smooth and easy process. It's best to practice in light and then moderate wind to get the timing right, and then work your way up into higher winds slowly as you gain confidence and smoothness.
Another shortcut to please avoid, is the advice above, 'On lighter wind days you can simply grab a handfull of mainsheet tackle and pull the boom across by hand.' Please, for your sake, don't get into this habit. This may be ok when racing a small dinghy with a hankerchief for a sail, in light air, but on a 30 foot keelboat, it's best not to move the main by through the eye of the wind by hand as a matter of policy. If your arm is up above your shoulder and you get hit by a puff while you're doing this, you can very easily blow out your shoulder's rotator cuff, which can be a serious, lifelong injury.
Not a great habit to get into tempting fate on this one, either.
Start off by practicing 'the gentle gybe'. This breaks the maneouver into segments, and helps you keep everything under control, which is the key.
After advising the crew to prepare to gybe, you steer the boat gradually down to a run.
The crew is ready to sheet in the main, and to release the leeward jib sheet.
The crew takes up slack on the windward jib sheet and puts a few turns in the winch to prepare it for use.
The crew advises you they are ready. You are now on a run, and after receiving the command to gybe the foresail, the crew releases the forsail on the leeward side, and gybes the foresail (hardening the windward jib sheet) so that you are now running wing on wing.
The helm is maintaining a steady course relative to the wind.
Then you give the command 'Ready to Gybe the Mainsail'
Once the crew is ready, the mainsheet trimmer responds that they are ready.
The skipper gives the command to 'harden the main.'
It is important not to steer the stern of the boat through the eye of the wind until the main is centered.
At this point the mainsheet is hardened as the boat's stern is gently brought through the wind in a very minor course alteration. The skipper calls 'gybe ho' as the mainsail - gently - crosses the eye of the wind. At this point the mainsheet is quickly slackened - under control - to avoid the boat rounding up to weather if it is windy.
Once you have mastered a 'gentle gybe' and can consistently do it under control, then move onto gybing smoothly from a reach to a reach, rather from a run to a run. At this point, you would delay gybing the foresail until after the moment after the main has crossed the eye of the wind.
In really strong winds, or with too much sail up for the conditions, gybing safely may become difficult as the boat tends to want to sail to weather as the mainsheet is hardened, but if this is the case, it's long overdue time to put another reef in the main.
The main take-away here should be that the point of gybing safely is to stay clear of the boom, make sure your sheets are clear to go to work, and make sure that there is no extra play in the traveller or mainsheet - avoid uncontrolled force during the gybe. Lots of practice and working on smooth timing will allow you to gybe more quickly, in stronger winds.