Aha, gold coast! Good luck with the move SkiBaby - we only moved from teh UK and that was stressful enough! If you have any queries let me know - I can probably point you to some useful resources if you haven't found them already. Feel free to PM me
As for conditions etc - it depends what you mean by "nearby". The Swiss consider half an hour to be quite a distance. But if you take a radius of two hours from Zurich then you're spoilt for choice - Davos/Klosters, Wengen/Grindelwald, Engelberg, Arosa, Lenzerheide, and one of our faves, Flims/Laax - we like it so much we're buying an apartment there. And those are just the big "name" resorts. There are tons of smaller local ones and some places up around Einsiedeln have just a single drag lift up a hill for the villagers to use.
Conditions seem to be most similar to American East Coast conditions - on piste tends to be hardpack/ice but you also often get clumps of powder in the middle of the piste (usually where the snowboarders have scraped it :D). If we've had a dump of snow it's not unusual (especially in France) for the piste to be ankle deep.
There is/can be good off-piste too - Flims/Laax has specific designated and avy-controlled back country areas which is pretty rare. However don't expect the sort of snowfalls they seem to get in Colorado and Utah.
What you have to remember, though, is there is no such thing as "inbounds" and "outbounds" in Europe. The moment you go the wrong side of the piste markers you are "off piste", it is entirely your own responsibility and risk, you're on your own and it's not avalanche controlled. As Henry, of Henry's Avalanche Talks, says, being a little bit off piste is like being a little bit pregnant.
If you're going to be based in Europe for a while, you might also want to have a look at Snowheads for a perspective from this side of the pond:
www.snowheads.com