At least when it comes to the US - these vaccines have been strongly embraced by major figures in both political parties. They were mostly developed and rolled out initially under Trump and have been continued under Biden - so both sides of the aisle would really like you to get it.

I'm in Canada and my spouse had some concerns about AZ when it was first being rolled out in pharmacies by booked appointments - so I waited until the national rollout of Pfizer & Moderna - if you've got concerns over a specific version of the vaccine there are other options.