In reply to Big Bad Bob:
Have done all the sections but never in one go. Stayed in huts and camped out but without tent. Under boulders etc. Would strongly recommend boots with ankle support. So easy to twist an ankle. Staying in huts does give yoû the possibility of meeting with others. Not impressed with Europaweg - in places very obviously an artificial path and probablyx down in the valley near the river more interesting. Never had to use ice axe or crampons but have always had good boots which work in snow.
When you pass the col de Louvie, rather than follow the marked trail traverse right and get on to the bottom of the glacier - no danger and crampons not needed and at least you will get an initial feel of the glacier. Easy to regain the marked path without losing height.
Also have never done Orsières to Verbier. Just not been tempted.
If you want to save money then load up with bread and cheese in the villages which you pass through every two days.
Might also be possible to camp next to huts if you eat there. Just do not know. Otherwise just wander off the trail a couple of hundred meters and find a hollow or a rock. Use of stoves be careful might not be allowed if weather very dry.
Its a great walk and the Ciicerone guide is very helpful