Vetting and grooming
Not a lot to tell you on this one. I maintain my small but growing herd with quality feed. This is the best prevention.
Worm any new goat you bring it. Worm everyone at the same time. I am not recommending any wormers, this is a to each there own, be it natural or not.
Lice are a big issue with goats. You need to dust them each spring.
I don't debud, if you have a post on how to remove horns, please leave a link in comments for my readers. I don't do this because horns are useful. You can grab them, and they can defend themselves. Horned goats tend to run, turn and defend. While hornless goats merely run. to debud or not to debud is a personal question.
Talk to your vet about banding your bucks. I have seen and heard some nasty things about this process. And it should be done by 1 month of age.
Toenails, need to be filed once a month. Keeping a playground of large rocks helps with hoof growth.
Dog attacks. Prevention is key, but if it happens (and it is common) Monica of The Dancing Farmer, has a great article over on Not Dabbling in Normal. Dog Attack Part 1 and Dog Attack Part 2
Shots are another personal choice. I see nothing wrong with infant vaccinations. I have issues with the over use of anti-biotic.