Please help! What is the difference between hydrocodone and oxycotin/oxycodone other than being more powerful?

Not much. Hydrocodone and oxycodone are very similar, which hydrocodone being 25-33% less potent (so oxycodone 5 mg is equivalent to about 7.5 mg of hydrocodone). Both have the same pharmacological reaction, both can cause the same problems and dependency, but hydrocodone tends to have more side effects from histamine release- itching, flushing, nausea, diarrhea- than oxycodone.