Answered by ZUPAN | Dec. 25, 2019 11:26
Part one:
Eni, your itinerary is definitely eligible for 24 hour visa free transit and you don't need any kind of visa.
You will print out your flight tickets and bring those printouts with you. Also, you will declare at check-in in Budapest that you will travel to Hong Kong via China using 24 hour visa free transit. After a short inspection of your flight tickets, you will be allowed to board the plane. Also, you will have to inform yourself about the airline policy regarding your luggage. You will have to ask at check-in where you will have to collect your luggage, being it in Chongqing, Beijing or Hong Kong.
Upon your arrival in Chongqing you will immediately approach 24 hour visa free transit counter where you will apply for a temporary entry permit to be allowed to continue your journey toward Beijing and Hong Kong. It will be definitely granted to you. If necessary, you will also collect your luggage here and recheck it for your flight to Beijing.
After these formalities, you will proceed toward Beijing and after that Hong Kong, but you have to always have in mind to carefully explore the luggage policy, so that you know in advance where you will have to or not to handle your luggage.