2 connection flights

Rob, you are definitely and undeniably eligible for 24 hour visa free transit and you do not need any kind of visa!

You will just approach transit counter or the one close to immigration upon your landing in Shanghai (PVG airport) where you will apply for a temporary entry permit where you will present your flight tickets. Please, have your tickets in a printout form (hard copy) for faster handling. This application is a formality free of charge and after the permit is granted, you will proceed through immigration because your connecting flight to Ningbo is a domestic one.

After your landing in Ningbo you will just wait for your flight to Budapest.

Please, just check at check-in in HCMC whether your luggage will be tagged all the way to Budapest, just to travel with absolute peace of mind. I am practically certain that it will be the case, but ask just to be 100% certain. Also, you should know that you would be also eligible even for 144 hour visa free transit in case that your entire transit time exceeded 24 hours because both Shanghai and Ningbo are located within one and the same Shanghai transit area. Enjoy your journey.