I think my ski trip
road warrior credentials are quite solid, if not as hard core as jimk or tseeb.
I know some people won't consider anything unless it's staying in resort.
We rarely do that in North America aside from my Snowbird timeshare week. In Europe it's sometimes a better value with the half board hotels, particularly in Austria.
We are far more likely than most people to move around to new places rather than stay in one place for a week or more. However, being based too far from the hill in the morning is a serious negative IMHO. There were other issues, but the one hour commutes certainly contributed to us not actually skiing until after 11AM at Grimentz and Aletsch. It may cost more to stay in a ski area but rarely does it cost more to stay 10-20 minutes away vs. an hour+.
There is the hassle of packing every time you leave a hotel, and thus Liz does not like to have a lot of one night stands. But you will presumably be skiing both Alpe d'Huez and Les Deux Alpes. That means at least two nights and thus a no-brainer to relocate into that region.
I'm wondering if the village of La Grave would be a good mid point? We'd want a few nice restaurants.
La Grave is very small. We ate out at one excellent restaurant when I was there in 2008, but the rest of the dinners were in our hotel as part of the Extremely Canadian package tour. I'm not sure I'd recommend staying in La Grave if you are not skiing there, which you shouldn't, especially since Kylie is with you. I know nothing about the Bourg d'Oisans area, but it's still France and IMHO you have to be quite unlucky to get bad food anywhere in the country, especially these days with online review sites.