Personally I love homeopathy. I use it with my mare a fair amount. There are different schools of thought on how it should be used. Classical homeopaths use one remedie at a time, then there are those who use combanation remedies. This can be called Homotoxicology. The idea is to clear toxins from the bodie to restore health.
I have used both methods and find them equally effective. Currently my mare is being treated for IR with a combo homeopathic remedy and is doing wonderfully on it.
Recently I have been reading alot about Vaccines, and Nosodes ( these are in some peoples minds homeopathic vaccines). It is quite the complicated issue, but It has also been very fascinating. Modern homeopaths believe you can give these proactivly to your horses to protect them from disease while the classical homeopaths feel they sould not be given this way. I have litteraly 40 articles printed off and sitting in front of me right now on the subject.
Its alot of reading.
My reccomandation would be to try to find a good homeopathic vet and consult with them if you are really interested in using homeopathy for your animals.
If you have any specific questions I would be happy to share what I have been learning, if I am able.