You will hear native speakers use both "different from"and "different to". The choice may be a regional thing, here in the USA I mostly hear people saying "different from", but in the UK "different to" may be more common. You will sometimes also hear people use "different than" but the correctness of that is somewhat dubious. I don't think any native speaker would ever use "different with".

With is used when adding things together. I am with you in this need to eat more chocolate. It is impossible to be different with as you not adding but disagreeing. Using context will always give a better answer then grammar rules. A sentence is designed to give context of itself and the following sentence. I hope this helps. Have fun

Thank you all! :)

Native speakers will use "I'm different with you" as a shorthand version of "I'm different when I'm with you", or "I act differently when I'm around you". It's not used the way that you propose though. "My opinion is different with yours" is incorrect.

The correct phrasing is "different from." I can't recall ever using or hearing "different with" and using it may confuse who you're talking to. For example: Different from = My opinion is not the same as your opinion. Different with = My opinion and your opinion are not the same as the other opinions. (This sentence does not clarify whether my opinion and your opinion are different. It only implies that my opinion and your opinion are different from other people's opinions.) I hope this helps!