The Katana is definetly is a different bird to land!!
I rememeber the first time I flew it (just having finished my CFI) I thought it was going to be a piece of cake to fly this thing. Well, having come from the Piper/Cessna/Beech world I was humbled on my first flight.
After rotation, there is little need to pitch up more than a few degrees to get your Vy pitch attitude. THe plane sort of levitates out....
During landing, it's important to get that first notch of "Take-off" flaps down, otherwise you'll just build speed and not decend at all!! In the DA20-A I usually fly the pattern with 23'' MP and begin my decent by reducing power to 15-17''MP, any more power than that and you'll be about to turn base realizing that the plane has descended a whopping 46 feet in the last minute!
While I fly a high glipe path in, the last notch of flaps come in handy. The landing flaps REALLY add alot of drag and unless you are high, plan on carrying alot of power in. IF you're flying a VASI with full flaps....may the aviation gods help you! But if you're on a high glipe path in, add the landing flaps and hold the nose down (it feels uncomfortable). Don't flare too high as the speed bleeds off FAST with full flaps.
One last note, people in the Katanas have a notorious time doing short field landings. My best piece of advise is AIRSPEED AIRSPEED AIRSPEED!! The -A model POH has 57 kts. as the approach speed. Slow it to 55ish and you won't float nor will you have to fight so much on the approach.
Many many many people will see that they're coming in high, lower the nose and build speed up to 65-70 kts. Then they find themselves fighting to hold the nose down with little rate of descent. At this point just bite the bullet, bring the nose up and slow it to around 55kts, then the plane will seem to magically decend.
I know I've gone on a bit, but....The Katana is fun but can be a pain in the arse if you don't get to fly it that often.