I'd have it like a 'shot', if you'll pardon the word. All the same, it seems to me that there are still quite of lot of questions to be answered.
Depending on which news source you use, the Oxford vaccine is described as 'up to' 90% effective, or 'only' 70% effective. If I were an authorizing agency, I'd want to know a lot more about the Phase 3 trial results before letting it out for the entire population.
The Pfizer vaccine sounds a lot better, but how many fridges are there in the world that can keep & transport large quantities at -80°C? (I'd consider buying shares in liquid nitrogen companies, but at -196°C that might be too cold & kill the vaccine.)
From a Public Health perspective, it's certainly going to pose the biggest exercise since the elimination of Smallpox. The remaining expertise in such a campaign, such as the Polio elimination initiative, primarily understands the issues in developing countries.
The developed world's health services are going to have to learn quite a lot very quickly. I'm a bit afraid that their management capability won't always be up to it & that some mistakes will occur. Mix in the inevitable political interference and there will be no end of buck-passing when something serious takes place.