Yeah, those skis are very versatile. If you like making
only short turns, then a single-purpose slalom sidecut ski like the ones Liam described would suit just fine. However, it seems that a dual radius ski may be the ticket for you, esp. for skiing with young kids. They're like magpies, flitting all over the place, and you sometimes have to make some pretty quick maneuvers to keep up with 'em. A ski that can make any turn shape just by thinking about it, is brilliant for that. My wife actually regrets not having a ski like that when our kids were young and learning to ski (I was learning too, and was no help at all
). She was on a high performance GS ski that was not amenable to quickness and agility -- she loves those skis, and still owns and uses them, but they weren't the right thing at the time.
So, having said all that, here are a few dual radius boards for you to check out:
Fischer Progressor 8 (last year's) -- light, agile, excellent edge grip on ice, very high speed limit, stable; rather lively; lots of great reviews for these, including here on this forum; high performance but non-demanding.
Fischer Progressor 800 (this year's) -- don't know much about these, but have heard they are very similar to the 8's; if you want more power and race-like build, then there is also the Progressor 9 (last year) and 900 (this year), and also the Progressor 10.
Nordica Spitfire (not the EDT/Pro models, but the base model) -- similar to Progressor 8 or 10, but more power than the 8, more damp, smooth; the EDT/Pro models are apparently very stiff and demanding, high speed only.
Elan Speedwave/Waveflex 10 or 12 (last year's) -- similar to above, a bit softer longitudinally, but torsionally stiff for good edge grip; the 10 has no metal; the 12 has metal but is still user-friendly (my brother has the 12, and skis at about your level, and loves them).
Kastle also makes dual radius frontside skis, but I am not familiar enough with their line to advise which would suit you best. There are others here on the forum who ski Kastle and can help with that.
I am not that familiar with Rossi's groomer skis, so don't know if they have such a design as well.
Hope this helps, and isn't making your choice more confusing.
Later addendum: I should add that for skiing with young kids (which it sounds like you will doing a lot of), it really helps to get skis that you can ski slowly. If you end up with skis that only come to life at moderate or high speeds, then you will not like them for dipsy-doodling with the kids. They will feel like 2x4s. Skiing with kids can be one of most fun things you can do (I still love it, and our daughters are now teenagers). So getting a pair of skis for yourself that you can have a blast on while skiing with them, and then wind 'em up and rip some high speed runs on your own or with your wife, and have the skis perform brilliantly there too, is highly recommended.