It is strange that there is no equivalency at the commercial level in the FAA world. So your plan is basically correct. A couple points. Some of your foreign instruction can count towards the FAA requirements. You would have to go line by line through your logbook to see what would apply. You must hold a commercial certificate in the category and class you want on your CFI. You could do your ME and commercial training together for one checkride. But if you want a SE CFI you would have to get a commercial SE rating. But there is only one commercial airplane knowledge test. As to the type, some people think it’s easier to do the training and checking in an airplane they are current in versus going back to a light twin they haven’t flown in years. You would have to make that decision.