In reply to nation1:
Martin Moran's guide '4000m Peaks in the Alps' is great and has some tips. 'Valais Alps West' published by the Alpine Club is the general area guide. Lots of routes in either of these can be used to help fitness / acclimatisation.
The Torino Hut near Mt Blanc has some great short and longer routes for practice. The Normal route on the Aiguille Peigne above Chamonix has similar sustained scrambling and fun route finding, or for an easier start the traverse of the Aiguille Crochues. Perhaps do a 4,000m peak or two before the Matterhorn.
Have a look at the guide websites such as Jagged Globe / Alpine Guides. Great for information.
For the route itself a standard dry treated 50m single rope is fine. You can do it with 40m to save some weight - if you have the luxury of having several different ropes.
I strongly recommend you reconnoitre the first part of the route the day before. Start as early as possible. One strategy is to follow straight after the guides as you can benefit from their route finding but should not be behind too many other parties.
My concern is that with no profile it is hard to judge what advice / suggestions to give you.