Adopting a mature cheetah is relatively out of the question if you want it to bond to you at all. I know that it CAN be done, but when a cheetah is abandoned, that's the way it feels. If you want a cat to bond to you, handraise a kitten or cub. That's what I've heard, at least. And, by bond to you, I mean... let you touch it. Though it really would depend on its circumstances before. They just don't deal with change very well.
Cheetahs aren't really available because they're endangered, anyway.
If you're looking for a big cat, research Servals, Bobcats, Lynx, Cougar. I don't think a Lion or Tiger would be suitable, but that might just be me... Most other animals are too hard to get in captivity because of the low numbers.
You will need a large enclosure, a tolerance for a big cat that pees and sprays on EVERYTHING, a lot of time, a lot of patience and a lot of dedication.
I too would love to get one of these cats one day but at the moment it's just not realistic for me... One day I hope to have a Lynx.
Again, read articles on exoticcatz.com, very very helpful.