, I just went through the same thing last season; held onto my many pairs of cool straight skis for as long as I could, then ultimately faced some serious difficulty enjoying their shaped replacements. As an ex-racer, it was frustrating, to say the least. Also a little dangerous, on steeps and chutes.
But I hung in there, and I'm fine with it now. Although I tend to think that if you're not on the groomers much, the benefits fade away quite a bit. Nevertheless, from your perspective, the following changes will be necessary this season:
1) Much less up-and-down motion;
The new skis seem to appreciate it if you pull them up toward
you during the transition from turn to turn, rather than you the skier extending and compressing aggressively during each turn.
Your center-of-mass stays fairly level with the terrain, is another way of putting it. In any case, you'll definitely be much quieter and hardly move vertically compared to what you're used to. "Unweighting" when initiating a turn is far
less helpful than it had been, I think you'll find.
2) Two-footed skiing is a must;
I'm sure you've heard about this. If you throw all your weight onto your downhill ski like you're used to, I'm betting you're going to have some crossed tips and sudden out-of-control arcs from your one loaded board to deal with. Hard as it may be to allow yourself to do, you've got to start letting a great deal of your weight come down on your inside
ski, to a terrifying extent (it would seem, at first)! But then the next thing you'll notice is that it works
--it really works
! You'll feel naughty, but at least your skis will both turn, consistently and predictably.
I've heard people say to shoot for 70/30, or even 60/40, weight distribution (outside to inside, respectively).
3) Reduced angulation at the waist and/or knee;
You know how a good skier in steep terrain, observed from the side, sort of resembled a comma? Knee and hip angulation was so pronounced during fall-line turns that you kind of curled out over
Well, stop it. Actually, you can continue to do this, but it will no longer help in any way. Better to eliminate most of your knee angles, and practice substantially less hip angle, and get used to the idea of more-or-less waterskiing
around. I think of it like you "surf" these skis, keeping your upper body quite passively aligned with the angle your skis are making. It feels very, very different.
You don't have to actually be
orthagonal to your skis, or keep your whole body in a straight line, but at least visualizing it helps to break you out of your old--previously useful--habits...
4) Greatly reduced counter-rotation;
If you've raced a bit, I'm sure you're accustomed to keeping your upper body heading straight down
the hill, while at the same time your skis are sometimes turning across
the hill. A more exaggerated version of this is steep fall-line skiing, where straight skis are often twisted close to 90-degrees to your upper body during the hard edging portion of the turn. Springing out of this position often "uncorked" the next turn. Great fun was had.
That doesn't work any more.
Or more accurately, it is dangerous with shaped skis. Their edges dig in too effectively and suddenly during steep hop turns, and you'll find yourself thrown by the sheer force of it--breaking at the waist and/or going over the handlebars quite a lot--if you don't align yourself with your skis.
So you end up with your upper body closer to facing the actual direction your skis are going moment-to-moment. You do exactly what you were taught not
to do, and turn your shoulders (mostly) with
your skis, following them as they turn, rather than always facing them down the hill. It's weird, I know. Sorry.
Those are a few of my thoughts on the matter, for what it's worth.
I'm sure it would be quite helpful to take a lesson, as others have noted. But since many of those others are professional ski instructors, they might be expected to suggest exactly that. If you're short on massive wads of cash, I do think you can successfully D.I.Y.
If you're an ex-racer, you probably have some experience with analyzing your ski-specific movements, and know how and why you do them. If this is the case, I don't see why you can't go out there, having researched what you need to change and why, and proceed to feel things out and make those changes yourself. It'll take a long time, a lot of missteps, and a bunch of unlearning.
But I think you're doing the right thing by asking questions ahead of time. I would suggest also doing a search for some video clips out there on the web of demo team members arcing new-style turns, to help repeatedly visualize and internalize the new movements.
If you do end up working with an instructor, or if you can arrange it on your own, I've always felt the most enlightening technique to be the use of videotape analysis. If that's an option, it's wonderfully humbling, and there's nothing like seeing yourself NOT doing the very thing you think you've got dialed in to get you fired up and determined to make the necessary changes.
Good luck; have fun,