girl and her father on the run, 80's YA book, first person narration

I'm looking for a book about a teen girl who is on the run with her father, who is some kind of wanted criminal/spy. I recall it was written in the first person, that at one point the dad went to see the movie "The Last Man in the World" or some other post-apocalyptic film in the theater, and the end is something like "if you see me, look the other way. I'm so very tired of running." The only other thing i remember is the heroine had a friend named "Kim Mars", who "since second grade, everyone called Kimmers."

I thought the name of this book was "Taking Terri Meuller" but I recently purchased it on Amazon and it is not the one I'm looking for. Thanks!

This Stranger, My Father.

From Google Books search: "Her real name is Kim Marz, but since the second grade everybody in the civilized world has called her Kimmers."

So that was a good detail to remember :)