Kidsave does not bring children from Russian anymore, the children are from Colombia (PP is correct though, when Kidsave first was founded they worked primarily with children in Russia).
Also, like PP said, Kidsave is not an adoption agency. However, they work with all agencies in this area (though they do work more frequently with some than others). Unless you live in Virginia, you don't need a full home study to host, just a brief visit with a social worker.
We hosted through Kidsave and found it to be a wonderful experience. We are in the process of adopting our daughter through the program now. The total cost to adopt an older child from Colombia is typically between $18,000 - $25,000 (including agency fees & travel expenses). Working with Kidsave does make the adoption process go a bit faster than a typical older child adoption from Colombia and it is MUCH, MUCH faster than a toddler adoption from Colombia. The process typically takes 10-14 months from the time you start your homestudy (which can be before or after you host the child, depending on how sure you are that you want to adopt).
You can read the blogs of some families who hosted here:
http://www.kidsave.org/media-2/hear_from_our_families/
Again, I can't speak highly enough of the program, the mission, and how blessed we feel to have met our little girl through it!