"what exactly does an Epsom Salt and baking soda bath do for a person? "
Very relaxing soak, good for sore muscles and sprains. Also good for drawing out poisons and puss from infections and bites, Itching etc.
"what does a clay bath do? what are the differences here?"
Good for detoxing chemicals and metals etc. from the body.
See link below.
"what about the hydrogen peroxide bath? i've never heard of that before! "
An alternative way to get oxygen ito the body through absobtion of the skin to fight bacteria and pathogens etc. Some people take it orally as well, although some doctors don't recommend it.
BTW, you're not ignorant. Nobody knows it all. Just seeking information like the rest of us. That's what this forum is about.