I forgot to add:
You don't want to lose control of the tiller, even for a second, while you are tacking. If you let go, it could center itself and put you in irons. So thoughout the whole pass around manuever, keep the rudders in their proper turn. By the time I pass the tiller from one hand to another, I have the rudders all the way over as far as they will go. I keep them there until the boat is on the new course and the main fills with air.
I switched from monos to cats and had a hard time learning to tack. Monos are much quicker at tacking, but they are much slower overall. It will take some practice to get the cats to tack well, but it is worth the extra effort.