Congratulations on your choice of boat, John! <img src="http://www.catsailor.com/forums/images/graemlins/smile.gif" alt="" /> (Well, at least the F16 part of it!! <img src="http://www.catsailor.com/forums/images/graemlins/grin.gif" alt="" />)
The first 'secret' to gybing these boats is DO NOT OVERSTEER. By that I mean gybe through as small an angle as possible and keep your speed up. It is actually easier to gybe with the kite than without. The main is already almost in the centre of the boat and therefore your gybing angle is very small. As the main comes over, resist the urge to continue your turn, instead straighten up immediately, get yourself sorted AND THEN start to power up again. After a while the process becomes more natural (and faster).
If you're sailing downwind without spin, your main will obviously be further out. In this situation bring the main in as you gybe and still keep your angle small. Let the main out once you're sorted and starting to heat the boat up again. Hope this helps.