First off there is little to no money in fur right now, especially southern fur. Western coyote and cats, as well as northern fur like lynx, marten, wolverine and wolf still command decent prices. Your state trapping association will probably hold at least one or two fur sales, a small entrance fee and your fur will be put up for auction. if you do some research you might find a country buyer or one of the big companies who will meet you somewhere to buy what you have. You can often sell green or on the carcass this way.
If you go the fur auction route, whether you ship it to a big fur house like NAFA or go to a small auction you will have to skin, flesh, and stretch and dry the hides. Some animals like bobcat and fox are very easy, others like coyote, otter, and to a degree coons can pose a challenge. There’s a right and a wrong way to do each animal. Special equipment like a fleshing knife, beam and a wire or wooden stretcher are required.
I sell my biggest prettiest hides at auction and get the smaller or slightly blemished hides tanned and sell them to individuals. If you’re actually looking to make a dollars selling tanned fur to individuals is the best way to go.
Feel free to shoot me a message if you have further questions or want information on good tanneries.