You sound perfect to me :-) Though I couldn't find "Shared Path" or "Bike Path" preset in my iD editor (I don't know why... I changed the language setting to English but what I get entering "path" text are "Foot Path" "Cycle Path" "Cycle and Foot Path" and "Bridle Path") the basics are as you described.

If you still feel unsure please let me know when you finish a change and then I could check if everything is correct. And thank you very much for listening to me so patiently!