There are four hunts in Georgia, plus one more that straddles the Georgia/Florida border, and another that travels from Illinois and spends part of the season near Albany. Packs go out 2-3 times per week (or more) from September through March, depending upon the hunt. Hunts usually last from 2-4 hours, but sometimes go longer.
Cap fees range from $35-75 – that is the fee a guest pays to hunt for a single day. If you catch the bug, membership fees are obviously more, but once a member you can hunt as many times as you like.
The type of horse is unimportant, so long as it is fit enough to do the job you want it to do, and is sensible. A lot goes on during a foxhunt, and some horses take to it, and some don’t; you won’t really know if your horse is suitable until it is faced with the experience.
Foxhunting is open to all levels of riders – there are different “fields,” depending upon how fast you want to go and whether you want to jump – they range from walk-trot groups to those who spend most of their time at a gallop. Those who ride fast and jump tend to prefer Thoroughbreds or mostly-TB crosses, but field members ride any variety of warmbloods, draft crosses, quarterhorses, or any other breed you can think of, with the exception of gaited breeds, which you do not typically see.
To get involved, find someone you know who is a member of a hunt – this is not a situation where you can just show up uninvited. If you do not know any hunt members, call the hunt secretary of the hunt nearest you and express your interest; those numbers are listed on the MFHA web page posted above.
While there are certain protocols and etiquette to follow, you’ll not find a more enjoyable and welcoming group of people. Before you go out, read as much as you can about the history and rituals of hunting, and you’ll have an even better experience.
Another poster asked a similar question earlier this year – here is that post: http://www.chronofhorse.com/forum/showthread.php?t=294355
Best of luck!