as far as getting from the UK....flying is faster and cheaper! a drive down to the french - swiss border takes about 14 hours, if you drive none stop. longer if you go for the more affordable ferry boat crossing.... the train under the english channel costs more than many of the budget airlines that fly straight to geneva / lyon / grenoble.... many tour operators will arrange you cheap accommod in a range of standards etc and these will always include a bus transfer from the airport to the resort. they can of course sort your lift passes out too. last minute deals aren;t cheaper than booking well in advance however.
chamonix has something for everyone, so no matter how good you are or how much you like to wipe out, there is something to keep you entertained. it doesn't reallt straddle any border, even tho its about 90 minutes from the swiss airport.
Just coz you don't understand it
Doesn't mean it makes no sense!