I tried to resist the urge to upgrade to Skyrim Anniversary Edition, I managed until this week. I am glad I can say everything went well.
For those who might be still wondering about the right move, here is my experience.
I started by uninstalling Skyrim SE but keeping MO2 as is.
Install/Update Skyrim AE from steam
Install CreationKit from Steam + Unofficial CK patch AE
Install SKSE SE
Install SSE Engine fixes part 2
So far so go