Over the years I have made a good number of hunting horses, and I would like to offer a few thoughts.
Don’t try to start your horse hunting until he is trustworthy going 'cross country both in company and alone. Make sure you have jumped the usual jumps and can cross creeks and streams alone and in company. Make sure your horse will turn and walk away from a group of horses without a problem.
Make a point of hacking near the kennels so your horse will at least have an idea about he sights, sounds and smells of hounds. If your hunt allows horses to go along when the puppies are walked - Do it.
The beginning weeks and months are the most important. Those memories sometimes last a life time.
I never go out on a first timer alone.
Always go with another very quiet horse as a baby sitter, make sure you have the trusty earplugs, a standing martingale and if at all possible make sure your horse has been turned out the previous night to help him be a little quieter.
Make sure you get to the meet 15 - 20 minutes early so he has time to look around. If he is nervous, go off and let him jog in a large circle to get rid of excess energy and nervousness. If your horse completely loses it - go home, and start the process again.
I think the most important part is NEVER go first flight, no matter how quiet your horse seems, for the first few hunts ! I never go first flight with a youngster for at least half of the first season. Cruise around with your baby sitter friend and relax.
The first few months are so important. If you have a reasonably quiet horse, take the time to teach him manners, you may have a great hunter for the rest of your hunting days.
Try to remember that some horses just aren’t meant to hunt, some are a little crazy and dangerous to you, other members of the field and hounds.
If that is the case you will have to either hunt way at the back of the field or find another job for him.
Good luck.