Sochi Club

Hello,
My family and I are planning on attending the 2014 Olympics and we are looking for travel ideas and routes that will take us there for the least cost.
The internet searching has given me pricing into Istanbul Turkey as the cheapest and closest major centre with Moscow second.
My question to you is: Are there better cities to fly into and connect with, that will give a family of four a chance to spend their money in your city and not just on the flights? Train connections? Boat or ferry?
I'm sure that the planning committee for the Olympics have ideas for moving large groups of tourists in and out of Sochi but we are looking to establish a route early and begin saving based on our findings.
Any direction you could give would be of immense help.

thank-you
Ian and family