In reply to Ryan_ID:
I suggest there are better options than going to the Dom hut. The approach is good training and summiting the Dom itself might be a good option, but it's too much of a slog IMO and there are better ways to acclimatise.
Personally, I'd prefer high huts you can get to more easily and do stuff from the hut. A long hut approach is potentially just tiring yourself out!
The Brittania Hut is easier to get to and you have options like the Strahlhorn (easy but a bit dangerously crevassed). Or the Allalinhorn (which you can do on the first lift/train from Saas Fee).
The Weissmies and Hohsaas huts are easy to get to and you can do the normal route on the Lagginhorn or Weissmies.
Another option is the Mischabel Hut, which is a wonderful scramble. The Nadelhorn is one of the best PD(+) routes in the Alps.
If you are in Zermatt, the Breithorn, Castor and Pollux are all good.
Note that the local guides bash the clients up the big M at a breakneck pace and if you can't keep up, they'll turn you round.
Post edited at 08:23