Do I need a visa to transfer through two airports in china on my way to Laos?

Hello. My name is John and I'm an American living in Korea. I am traveling to Lao over Christmas and will be flying through China on my way. I will be only transferring flights in the airports. I will not be leaving the airports. My question is: Do I need to get a visa, transit or nothing at all? My flight details are:

December 21st
Depart Busan Korea China Eastern Airlines
12:35 PM Kimhae (PUS)

Stop 1 Shanghai
1:20 PM Pudong International Airport (PVG) | Terminal 1
Change planes. Time between flights: 7hr 40min

Depart Shanghai China Eastern Airlines
9:00 PM Pudong International Airport (PVG)

Stop 2 Kunming
12:40 AM Kunming Airport (KMG)
Change planes. Time between flights: 12hr 50min

Depart Kunming China Eastern Airlines
1:30 PM Kunming Airport (KMG)

Arrive Vientiane Lao
2:00 PM Wattay (VTE) | Terminal I



Return Sat, Jan 5
Depart Vientiane China Eastern Airlines
2:40 PM Wattay (VTE)

Stop 1 Kunming
5:15 PM Kunming Airport (KMG)
Time between flights: 3hr 55min

Depart Kunming China Eastern Airlines
9:10 PM Kunming Airport (KMG)

Stop 2 Beijing
12:35 AM Beijing International Airport (PEK) | Terminal 2
Change of airlines. Time between flights: 8hr 0min

Depart Beijing Hainan Airlines 7909
8:35 AM Beijing International Airport (PEK)

Arrive Busan Korea
11:35 AM Kimhae (PUS) | Terminal I

Kind Regards,
John