Op,
Both math and Francis are quite right, please please explore a bit more.
My cof e church would welcome you with open arms, of course, but you will find all sorts of congregations within the Anglican communion and some are nice and some are not, some welcoming, some not.
The same is true of RC and any other type of parish. My former rc next door neighbours loathed their firmer pp before they came here, thought if going cofe, but their new parish is fine.
. It's not frightfully important to many Anglicans if you become RC, though it used to be. It's just wrong the other way for many RCs. The Catholic Church does not recognise Anglican orders as valid. There is one church, albeit with some others in communion with it. And the Anglican Church is not one of those.
The Pope has a position that is not the same as the Archbishop of Canterbury, and when the Pope makes a pronouncement ex cathedra about doctrine, that's it.
So if you don't go, in stark terms and although many people will be loving to you and tactful, you have turned your back on what is right, you have signed up to a misinterpretation. You do it your way, we'll do it His is the caricature, but it expresses the fundamental position neatly.
You may feel that is out if date and silly and you are relaxed about it. If so, fine. But be clear with yourself.
There are in addition other bits that are different as Frances and math say., though in the Anglican Church you can find parishes that venerate relics of the same Pope that other areas of the country execrate/ burn. Some will celebrate the assumption and believe in transubstatiation, despite the 39 Articles, some won't.
But it is the claim of authority and the consequence of not obeying it that you need to be clear about.