Every other question I get concerning P's adoption is, "So, will you change his name?"
Yes. No. Yes.
So basically what will happen is that he is getting his birth first name back. Same spelling, even. He didn't have a middle name, so we are keeping the middle name he got from his previous family, which he quite likes. Except we change the spelling of it from Joel to Yoel, to fit both the Hungarian and local pronunciation. And, of course, he is getting Kevin's official, very Irish sounding last name.
P has always referred to him by his original, Hungarian name, even though it was strongly discouraged by his previous family. It was wisest, in my opinion, to give it legally back to him.