All in all, as others have said, it is still easier to move between distant countries now than ever before, and these may seem like minor issues, but I feel your pain!

I moved a few times between France and the UK, and every time I've had to move all my accounts (Youtube, Amazon, Playstation store, etc.) but most importantly I have two separate Paypal accounts to handle both countries.

There are also some French administrative websites that I can't access when I am in the UK, preventing me from booking appointments to renew official documents. I have to use a VPN and even then the pages fail to load most of the time and are 100 times slower than when connecting physically from France.