In reply to Sam W:
Thanks for all the replies, lots of really useful advice. We definitely won't be booking lessons this year, mainly because we don't think she would like it, and even if it was going to be brilliant for her, we couldn't afford it. The only aim for this trip, or at least the first week of it, is to have family fun in the mountains. We're staying in a cabin that is 20 minutes walk in from the nearest parking, so hiring gear/ using kiddie areas isn't going to be an easy option, which is why I was thinking of buying something. If Anya likes them, great, if not then her little sister, who is more inclined to throw herself into things, probably will.
We definitely don't want to push them into things, but I'm also aware that I didn't learn to ski until I was 20, and I wish I had had the opportunity to start much, much earlier. Parenting often seems to be about treading a very fine line!