Several people have mentioned winching in the mainsheet, then quickly letting it out on the other tack as the stern comes through the wind.
Why is it okay to winch in the mainsheet at your leisure before the gybe, if it's so important to let it out quickly on the other? Do you not risk a pre-gybe broach if you spend too much time with the main close to center prior to the turn?
Not so much, since you are bearing off while you are trimming in the main, which tends to keep the CE and the CLR more or less in line, and neither the main nor the rudder are being shock-loaded. It's different after the boom slams over, it quickly goes from pushing you one way to pushing you the other way. No matter what the theory, the dicey part of the jibe is just after you do it, not just before.