Really depends on how it is rolled out. If through normal distribution channels then senior facilities will be an enormous challenge b/c they don't have storage facilities for the Pfizer product.
Plus given the storage conditions, there will need to be specialized training for the nurses / techs to handle -70C equipment, nitrogen tanks, thaw procedures, etc. Plus issues with the commercial distribution supply chain - Pfizer doesn't sell to nursing home X, Pfizer sells to McKesson (example) who actual stores, sells, ships to customers.
Of course there are ways to do it more quickly & efficiently, but that leadership that is actually concerned with the lives of their citizens.
There is tech to help with distribution tracking and temp monitoring in a general sense.
LPWAN and tech like LoRa allow near continuous monitoring of packages at modest expense. You can know the location and condition (temp, hum, shock etc) of packages as you need it. This is new but is available as I understand it.
Long Range Wireless IoT | 2019 Guide to LoRa and Other LPWAN Technologies