Unfortunately getting to Chamonix is a long and rather difficult journey from Geneva. It is preferable to take a Geneva airport taxi, as you will need to pre-book one for the journey, as local cabs probably will not do the journey crossing the border; the cost is also quite a hefty, around 300€. Otherwise, you can look at taking a bus. There are numerous private bus companies and services that operate the route, however the public bus service SAT Montblanc runs from the airport to Chamonix and with a cost from 19€, the journey takes around an hour and a half.Welcome Pickups offers meet and greet services and a friendly introduction to Geneva at the same price as a regular taxi. Click here to see the cost.