Yes, the Government bought 100 million doses of AZ, and bought something like 60m Pfizer, but has ordered another 60m more, and bought 17m Moderna (too expensive). Pfizer was the first one rolled out, so it was given to the oldest members of the population first, and some healthcare workers, before they moved on to using the AZ one. My parents (70s) have the AZ one and that's what me and Paul have too.
Anecdotally, I've heard that the Pfizer one is much commoner in the south east. The mRNA ones are going to be offered to the younger age groups (35 and below I think) because the chances of people in those age groups dying of Covid is thought to be even lower than the risk of dying from a vaccine related blot clot. I see the point to that, although it also looks like the people least likely to die of covid are by far the ones getting the best protection now.
I'd really like to see them delay scrapping social distancing for another month, maybe two. All adults will have been offered the first dose of something by the end of July, but if that's as low as 33% protection, it's not enough.