Who Will Be My Friends, by Syd Hoff, HarperCollins, 1960.
It is very difficult for a shy child, an extreme introvert, to move to a new town and have to start making friends all over again. I should know -- I was one. Even so, I don't quite relate to the boy in this book. You can't stay on the sidelines and expect to make friends, some effort is needed. My son, who has moved to a new town, but who is not especially introverted, cannot relate to the boy in the book even less than I could.
The illustrations, however, are absolutely faultless, and the story -- such as it is -- is cute.